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Papers by abdul ganie

Axioms

In this study, we used two unique approaches, namely the Yang transform decomposition method (YTD... more In this study, we used two unique approaches, namely the Yang transform decomposition method (YTDM) and the homotopy perturbation transform method (HPTM), to derive approximate analytical solutions for nonlinear time-fractional Zakharov–Kuznetsov equations (ZKEs). This framework demonstrated the behavior of weakly nonlinear ion-acoustic waves in plasma containing cold ions and hot isothermal electrons in the presence of a uniform magnetic flux. The density fraction and obliqueness of two compressive and rarefactive potentials are depicted. In the Liouville–Caputo sense, the fractional derivative is described. In these procedures, we first used the Yang transform to simplify the problems and then applied the decomposition and perturbation methods to obtain comprehensive results for the problems. The results of these methods also made clear the connections between the precise solutions to the issues under study. Illustrations of the reliability of the proposed techniques are provided....

Symmetry

In comparison to fractional-order differential equations, integer-order differential equations ge... more In comparison to fractional-order differential equations, integer-order differential equations generally fail to properly explain a variety of phenomena in numerous branches of science and engineering. This article implements efficient analytical techniques within the Caputo operator to investigate the solutions of some fractional partial differential equations. The Adomian decomposition method, homotopy perturbation method, and Elzaki transformation are used to calculate the results for the specified issues. In the current procedures, we first used the Elzaki transform to simplify the problems and then applied the decomposition and perturbation methods to obtain comprehensive results for the problems. For each targeted problem, the generalized schemes of the suggested methods are derived under the influence of each fractional derivative operator. The current approaches give a series-form solution with easily computable components and a higher rate of convergence to the precise solu...

Axioms

This article investigates the seventh-order Lax’s Korteweg–de Vries equation using the Yang trans... more This article investigates the seventh-order Lax’s Korteweg–de Vries equation using the Yang transform decomposition method (YTDM) and the homotopy perturbation transform method (HPTM). The physical phenomena that emerge in physics, engineering and chemistry are mathematically expressed by this equation. For instance, the KdV equation was constructed to represent a wide range of physical processes involving the evolution and interaction of nonlinear waves. In the Caputo sense, the fractional derivative is considered. We employed the Yang transform, the Adomian decomposition method and the homotopy perturbation method to obtain the solution to the time-fractional Lax’s Korteweg–de Vries problem. We examined and compared a particular example with the actual result to verify the approaches. By utilizing these methods, we can construct recurrence relations that represent the solution to the problem that is being proposed, and we are then able to present graphical representations that ena...

Fractals

In this paper, we deal with the numerical solution of the reaction–diffusion Ebola epidemic model... more In this paper, we deal with the numerical solution of the reaction–diffusion Ebola epidemic model. The diffusion which is an important phenomenon for the epidemic model is included in the model. This inclusion has made the model more comprehensive for studying the disease dynamics in the human population. The quantities linked with the model indicate the population sizes which are taken as absolute, therefore, the numerical schemes utilized to solve the underlying Ebola epidemic system should sustain the positivity. The numerical approaches used to solve the underlying epidemic models are explicit nonstandard finite difference operator splitting (ENSFD-OS) and implicit nonstandard finite difference operator splitting (INSFD-OS) techniques. These schemes preserve all the physical features of the state variables, i.e. projected schemes hold the positive solution acquired by the Ebola diffusive epidemic model. The underlying epidemic model illustrates two stable steady states, a virus-...

Frontiers in Physics

Determining the non-linear traveling or soliton wave solutions for variable-order fractional evol... more Determining the non-linear traveling or soliton wave solutions for variable-order fractional evolution equations (VO-FEEs) is very challenging and important tasks in recent research fields. This study aims to discuss the non-linear space–time variable-order fractional shallow water wave equation that represents non-linear dispersive waves in the shallow water channel by using the Khater method in the Caputo fractional derivative (CFD) sense. The transformation equation can be used to get the non-linear integer-order ordinary differential equation (ODE) from the proposed equation. Also, new exact solutions as kink- and periodic-type solutions for non-linear space–time variable-order fractional shallow water wave equations were constructed. This confirms that the non-linear fractional variable-order evolution equations are natural and very attractive in mathematical physics.

Frontiers in Physics

This study, considers the fractional order cable model (FCM) in the sense of Riemann–Liouville fr... more This study, considers the fractional order cable model (FCM) in the sense of Riemann–Liouville fractional derivatives (R-LFD). We use a modified implicit finite difference approximation to solve the FCM numerically. The Fourier series approach is used to examine the proposed scheme’s theoretical analysis, including stability and convergence. The scheme is shown to be unconditionally stable, and the approximate solution converges to the exact solution. To demonstrate the application and feasibility of the proposed approach, a numerical example is provided.

Symmetry

This paper examines two methods for solving the nonlinear fractional Phi-four problem with variab... more This paper examines two methods for solving the nonlinear fractional Phi-four problem with variable coefficients. One of the distinct states of the Klein–Gordon model yields the Phi-four equation. It is also used to simulate the kink and anti-kink solitary wave connections that have recently emerged in biological systems and nuclear particle physics. The approaches that are being suggested consist of the Yang transform, the homotopy perturbation approach, the decomposition approach, and the fractional derivative as stated by Caputo. The advantages of the proposed techniques are their capability of combining two dominant approaches for attaining precise and approximate solutions of nonlinear equations. It is important to keep in mind that the suggested methods can perform better in general as they need less computational effort than the alternative methods, while keeping a high level of numerical precision. The actual and estimated outcomes are demonstrated in graphs and tables to be...

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Computational and Applied Mathematics

AIMS Mathematics, 2022

In this paper, we developed a computational Haar collocation scheme for the solution of fractiona... more In this paper, we developed a computational Haar collocation scheme for the solution of fractional linear integro-differential equations of variable order. Fractional derivatives of variable order is described in the Caputo sense. The given problem is transformed into a system of algebraic equations using the proposed Haar technique. The results are obtained by solving this system with the Gauss elimination algorithm. Some examples are given to demonstrate the convergence of Haar collocation technique. For different collocation points, maximum absolute and mean square root errors are computed. The results demonstrate that the Haar approach is efficient for solving these equations.

1. Preliminaries Background and Notation A sequence space is defined to be a linear space of real... more 1. Preliminaries Background and Notation A sequence space is defined to be a linear space of real or complex sequences. Throughout the paper , and N R C denote the set of non-negative integers, the set of real numbers and the set of complex numbers, respectively. Let ω denote the space of all sequences (real or complex); l∞ , c and c0 respectively, denotes the space of all bounded sequences, the space of convergent sequences and space of null sequences. Also, by l1 and lp, (1 < p<∞), we denote the spaces of all absolutely convergent and p-absolutely convergent series, respectively. A sequence space X is called an FK-space if it is a complete linear metric space with continuous coordinates pn: X → C defined by pn(x) = xn for all x ∈ X and every n ∈ N. A BK-space is a normed FK-space, that is, a BK-space is a Banach space with continuous coordinates [1-4]. The phrase Fibonacci numbers refers to a sequence of numbers studied by a man named Leonardo of Pisa, who was nicknamed “Fib...

Mathematische Zeitschrift, 1972

ABSTRACT

Heat Transfer Engineering, 2012

Granular Computing, 2022

Fermatean fuzzy sets are more powerful than fuzzy sets, intuitionistic fuzzy sets, and Pythagorea... more Fermatean fuzzy sets are more powerful than fuzzy sets, intuitionistic fuzzy sets, and Pythagorean fuzzy sets in handling various problems involving uncertainty. The distance measures in the fuzzy and non-standard fuzzy frameworks have got their applicability in various areas such as pattern analysis, clustering, medical diagnosis, etc. Also, the fuzzy and nonstandard fuzzy knowledge measures have played a vital role in computing the criteria weights in the multicriteria decisionmaking problems. As there is no study concerning the distance and knowledge measures of Fermatean fuzzy sets, so in this paper, we propose some novel distance measures for Fermatean fuzzy sets using t-conorms. We also discuss their various desirable properties. With the help of suggested distance measures, we introduce some knowledge measures for Fermatean fuzzy sets. Through numerical comparison and linguistic hedges, we establish the effectiveness of the suggested distance measures and knowledge measures, respectively, over the existing measures in the Pythagorean/Fermatean fuzzy setting. At last, we demonstrate the application of the suggested measures in pattern analyis and multicriteria decision-making.

Symmetry

Fractional differential equations describe nature adequately because of the symmetry properties t... more Fractional differential equations describe nature adequately because of the symmetry properties that describe physical and biological processes. In this paper, a new approximation is found for the variable-order (VO) Riemann–Liouville fractional derivative (RLFD) operator; on that basis, an efficient numerical approach is formulated for VO time-fractional modified subdiffusion equations (TFMSDE). Complete theoretical analysis is performed, such as stability by the Fourier series, consistency, and convergence, and the feasibility of the proposed approach is also discussed. A numerical example illustrates that the proposed scheme demonstrates high accuracy, and that the obtained results are more feasible and accurate.

Acoustic signals are not transmitted to the brain wholly by contrivances of the ear but in uences... more Acoustic signals are not transmitted to the brain wholly by contrivances of the ear but in uences us through the mediums of skin, bones, and viscera. The ear is awfully subtle to vibrations in the air and conveys the tessellations of these vibrations in a form that the brain distinguishes as sound and speech. The medical devices are being developed that consume high-intensity focused acoustic signals as a noninvasive method for diagnostics and treatment of various psychiatric ailments. The major bene t of these sound or music & acoustic signals that offers the technique so readily to use in non-invasive therapy is its ability to breach deep into the human body and supply to a speci c site thermal or mechanical energy with sub-millimetre accuracy. In this paper an attempt is made to study the intervention of these sound frequencies in general and their effects on neuro-psychiatric mechanisms and allied phenomenon. The quanti cation of speci c frequencies (Acoustic loops) which will ameliorate the various disorders after their identi cation can also be correlated with various biochemical parameters that will be analysed with regards to the changes effected by these interventions. The proposed research work might provide a novel approach of treatment for neuro psychiatric disorders using the above stated measures using acoustic loops intervention that uses speci c spectral frequencies to trigger effective and discernible changes in the subjects/patients suffering from neuropsychiatric ailments etc. The work intends to provide the effect of the above mentioned on 50 subjects which are taken in isolation wherein the results are quite demanding.

Acoustic signals are not transmitted to the brain wholly by contrivances of the ear but influence... more Acoustic signals are not transmitted to the brain wholly by contrivances of the ear but influences us through the mediums of skin, bones, and viscera. The ear is awfully subtle to vibrations in the air and conveys the tessellations of these vibrations in a form that the brain distinguishes as sound and speech. The medical devices are being developed that consume high-intensity focused acoustic signals as a non-invasive method for diagnostics and treatment of various psychiatric ailments. The major benefit of these sound or music & acoustic signals that offers the technique so readily to use in non-invasive therapy is its ability to breach deep into the human body and supply to a specific site thermal or mechanical energy with sub-millimetre accuracy. In this paper an attempt is made to study the intervention of these sound frequencies in general and their effects on neuro-psychiatric mechanisms and allied phenomenon. The quantification of specific frequencies (Acoustic loops) which ...

Fractals

In this paper, a new computing technique is investigated for the cause of Mycobacterium ulcerans ... more In this paper, a new computing technique is investigated for the cause of Mycobacterium ulcerans (MU) with the help of differential equations through the SIR model. This study is carried out to find the cause between the ulcer and the environment for the spread of Buruli ulcer (BU). Fractional-order SIR model is applied to discuss in detail the BU disease. The construction and development of this given numerical scheme are performed for the SIR epidemiological model concerning the transmission dynamics of BUs. Mathematical modeling of the presented scheme with the help of stability techniques is accomplished. Further, the behavior of the scheme is accessed by the evaluation of the different parameters of interest. The attained numerical results are observed for the illustration of the benefit of introducing a fractional model. Finally, we profound that the presented numerical scheme maintains all required control measuring features of the corresponding dynamical system and decreases...

The interface of sound in general and music in particular has known and unknown dimensions in hum... more The interface of sound in general and music in particular has known and unknown dimensions in human physiology, human psychology and larger well-being of human health. Acoustic therapies and stimulation have been scientifically proven to have a powerful effect on the brain. Recent researches have shown that music can help in many aspects of the brain including pain reduction, stress relief, Seizure, Stroke, memory, and brain injuries. The intervention of sound or music as a type of treatment can be medicine less and mostly concentrates on selective sound frequencies or acoustic loops. In this paper an attempt is made to study the intervention of these sound frequencies in general and their effects on neuro-psychiatric mechanisms and allied phenomenon. The quantification of specific frequencies (Acoustic loops) which will ameliorate the various disorders after their identification can also be correlated with various biochemical parameters that will be analysed with regards to the cha...

Axioms

In this study, we used two unique approaches, namely the Yang transform decomposition method (YTD... more In this study, we used two unique approaches, namely the Yang transform decomposition method (YTDM) and the homotopy perturbation transform method (HPTM), to derive approximate analytical solutions for nonlinear time-fractional Zakharov–Kuznetsov equations (ZKEs). This framework demonstrated the behavior of weakly nonlinear ion-acoustic waves in plasma containing cold ions and hot isothermal electrons in the presence of a uniform magnetic flux. The density fraction and obliqueness of two compressive and rarefactive potentials are depicted. In the Liouville–Caputo sense, the fractional derivative is described. In these procedures, we first used the Yang transform to simplify the problems and then applied the decomposition and perturbation methods to obtain comprehensive results for the problems. The results of these methods also made clear the connections between the precise solutions to the issues under study. Illustrations of the reliability of the proposed techniques are provided....

Symmetry

In comparison to fractional-order differential equations, integer-order differential equations ge... more In comparison to fractional-order differential equations, integer-order differential equations generally fail to properly explain a variety of phenomena in numerous branches of science and engineering. This article implements efficient analytical techniques within the Caputo operator to investigate the solutions of some fractional partial differential equations. The Adomian decomposition method, homotopy perturbation method, and Elzaki transformation are used to calculate the results for the specified issues. In the current procedures, we first used the Elzaki transform to simplify the problems and then applied the decomposition and perturbation methods to obtain comprehensive results for the problems. For each targeted problem, the generalized schemes of the suggested methods are derived under the influence of each fractional derivative operator. The current approaches give a series-form solution with easily computable components and a higher rate of convergence to the precise solu...

Axioms

This article investigates the seventh-order Lax’s Korteweg–de Vries equation using the Yang trans... more This article investigates the seventh-order Lax’s Korteweg–de Vries equation using the Yang transform decomposition method (YTDM) and the homotopy perturbation transform method (HPTM). The physical phenomena that emerge in physics, engineering and chemistry are mathematically expressed by this equation. For instance, the KdV equation was constructed to represent a wide range of physical processes involving the evolution and interaction of nonlinear waves. In the Caputo sense, the fractional derivative is considered. We employed the Yang transform, the Adomian decomposition method and the homotopy perturbation method to obtain the solution to the time-fractional Lax’s Korteweg–de Vries problem. We examined and compared a particular example with the actual result to verify the approaches. By utilizing these methods, we can construct recurrence relations that represent the solution to the problem that is being proposed, and we are then able to present graphical representations that ena...

Fractals

In this paper, we deal with the numerical solution of the reaction–diffusion Ebola epidemic model... more In this paper, we deal with the numerical solution of the reaction–diffusion Ebola epidemic model. The diffusion which is an important phenomenon for the epidemic model is included in the model. This inclusion has made the model more comprehensive for studying the disease dynamics in the human population. The quantities linked with the model indicate the population sizes which are taken as absolute, therefore, the numerical schemes utilized to solve the underlying Ebola epidemic system should sustain the positivity. The numerical approaches used to solve the underlying epidemic models are explicit nonstandard finite difference operator splitting (ENSFD-OS) and implicit nonstandard finite difference operator splitting (INSFD-OS) techniques. These schemes preserve all the physical features of the state variables, i.e. projected schemes hold the positive solution acquired by the Ebola diffusive epidemic model. The underlying epidemic model illustrates two stable steady states, a virus-...

Frontiers in Physics

Determining the non-linear traveling or soliton wave solutions for variable-order fractional evol... more Determining the non-linear traveling or soliton wave solutions for variable-order fractional evolution equations (VO-FEEs) is very challenging and important tasks in recent research fields. This study aims to discuss the non-linear space–time variable-order fractional shallow water wave equation that represents non-linear dispersive waves in the shallow water channel by using the Khater method in the Caputo fractional derivative (CFD) sense. The transformation equation can be used to get the non-linear integer-order ordinary differential equation (ODE) from the proposed equation. Also, new exact solutions as kink- and periodic-type solutions for non-linear space–time variable-order fractional shallow water wave equations were constructed. This confirms that the non-linear fractional variable-order evolution equations are natural and very attractive in mathematical physics.

Frontiers in Physics

This study, considers the fractional order cable model (FCM) in the sense of Riemann–Liouville fr... more This study, considers the fractional order cable model (FCM) in the sense of Riemann–Liouville fractional derivatives (R-LFD). We use a modified implicit finite difference approximation to solve the FCM numerically. The Fourier series approach is used to examine the proposed scheme’s theoretical analysis, including stability and convergence. The scheme is shown to be unconditionally stable, and the approximate solution converges to the exact solution. To demonstrate the application and feasibility of the proposed approach, a numerical example is provided.

Symmetry

This paper examines two methods for solving the nonlinear fractional Phi-four problem with variab... more This paper examines two methods for solving the nonlinear fractional Phi-four problem with variable coefficients. One of the distinct states of the Klein–Gordon model yields the Phi-four equation. It is also used to simulate the kink and anti-kink solitary wave connections that have recently emerged in biological systems and nuclear particle physics. The approaches that are being suggested consist of the Yang transform, the homotopy perturbation approach, the decomposition approach, and the fractional derivative as stated by Caputo. The advantages of the proposed techniques are their capability of combining two dominant approaches for attaining precise and approximate solutions of nonlinear equations. It is important to keep in mind that the suggested methods can perform better in general as they need less computational effort than the alternative methods, while keeping a high level of numerical precision. The actual and estimated outcomes are demonstrated in graphs and tables to be...

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Computational and Applied Mathematics

AIMS Mathematics, 2022

In this paper, we developed a computational Haar collocation scheme for the solution of fractiona... more In this paper, we developed a computational Haar collocation scheme for the solution of fractional linear integro-differential equations of variable order. Fractional derivatives of variable order is described in the Caputo sense. The given problem is transformed into a system of algebraic equations using the proposed Haar technique. The results are obtained by solving this system with the Gauss elimination algorithm. Some examples are given to demonstrate the convergence of Haar collocation technique. For different collocation points, maximum absolute and mean square root errors are computed. The results demonstrate that the Haar approach is efficient for solving these equations.

1. Preliminaries Background and Notation A sequence space is defined to be a linear space of real... more 1. Preliminaries Background and Notation A sequence space is defined to be a linear space of real or complex sequences. Throughout the paper , and N R C denote the set of non-negative integers, the set of real numbers and the set of complex numbers, respectively. Let ω denote the space of all sequences (real or complex); l∞ , c and c0 respectively, denotes the space of all bounded sequences, the space of convergent sequences and space of null sequences. Also, by l1 and lp, (1 < p<∞), we denote the spaces of all absolutely convergent and p-absolutely convergent series, respectively. A sequence space X is called an FK-space if it is a complete linear metric space with continuous coordinates pn: X → C defined by pn(x) = xn for all x ∈ X and every n ∈ N. A BK-space is a normed FK-space, that is, a BK-space is a Banach space with continuous coordinates [1-4]. The phrase Fibonacci numbers refers to a sequence of numbers studied by a man named Leonardo of Pisa, who was nicknamed “Fib...

Mathematische Zeitschrift, 1972

ABSTRACT

Heat Transfer Engineering, 2012

Granular Computing, 2022

Fermatean fuzzy sets are more powerful than fuzzy sets, intuitionistic fuzzy sets, and Pythagorea... more Fermatean fuzzy sets are more powerful than fuzzy sets, intuitionistic fuzzy sets, and Pythagorean fuzzy sets in handling various problems involving uncertainty. The distance measures in the fuzzy and non-standard fuzzy frameworks have got their applicability in various areas such as pattern analysis, clustering, medical diagnosis, etc. Also, the fuzzy and nonstandard fuzzy knowledge measures have played a vital role in computing the criteria weights in the multicriteria decisionmaking problems. As there is no study concerning the distance and knowledge measures of Fermatean fuzzy sets, so in this paper, we propose some novel distance measures for Fermatean fuzzy sets using t-conorms. We also discuss their various desirable properties. With the help of suggested distance measures, we introduce some knowledge measures for Fermatean fuzzy sets. Through numerical comparison and linguistic hedges, we establish the effectiveness of the suggested distance measures and knowledge measures, respectively, over the existing measures in the Pythagorean/Fermatean fuzzy setting. At last, we demonstrate the application of the suggested measures in pattern analyis and multicriteria decision-making.

Symmetry

Fractional differential equations describe nature adequately because of the symmetry properties t... more Fractional differential equations describe nature adequately because of the symmetry properties that describe physical and biological processes. In this paper, a new approximation is found for the variable-order (VO) Riemann–Liouville fractional derivative (RLFD) operator; on that basis, an efficient numerical approach is formulated for VO time-fractional modified subdiffusion equations (TFMSDE). Complete theoretical analysis is performed, such as stability by the Fourier series, consistency, and convergence, and the feasibility of the proposed approach is also discussed. A numerical example illustrates that the proposed scheme demonstrates high accuracy, and that the obtained results are more feasible and accurate.

Acoustic signals are not transmitted to the brain wholly by contrivances of the ear but in uences... more Acoustic signals are not transmitted to the brain wholly by contrivances of the ear but in uences us through the mediums of skin, bones, and viscera. The ear is awfully subtle to vibrations in the air and conveys the tessellations of these vibrations in a form that the brain distinguishes as sound and speech. The medical devices are being developed that consume high-intensity focused acoustic signals as a noninvasive method for diagnostics and treatment of various psychiatric ailments. The major bene t of these sound or music & acoustic signals that offers the technique so readily to use in non-invasive therapy is its ability to breach deep into the human body and supply to a speci c site thermal or mechanical energy with sub-millimetre accuracy. In this paper an attempt is made to study the intervention of these sound frequencies in general and their effects on neuro-psychiatric mechanisms and allied phenomenon. The quanti cation of speci c frequencies (Acoustic loops) which will ameliorate the various disorders after their identi cation can also be correlated with various biochemical parameters that will be analysed with regards to the changes effected by these interventions. The proposed research work might provide a novel approach of treatment for neuro psychiatric disorders using the above stated measures using acoustic loops intervention that uses speci c spectral frequencies to trigger effective and discernible changes in the subjects/patients suffering from neuropsychiatric ailments etc. The work intends to provide the effect of the above mentioned on 50 subjects which are taken in isolation wherein the results are quite demanding.

Acoustic signals are not transmitted to the brain wholly by contrivances of the ear but influence... more Acoustic signals are not transmitted to the brain wholly by contrivances of the ear but influences us through the mediums of skin, bones, and viscera. The ear is awfully subtle to vibrations in the air and conveys the tessellations of these vibrations in a form that the brain distinguishes as sound and speech. The medical devices are being developed that consume high-intensity focused acoustic signals as a non-invasive method for diagnostics and treatment of various psychiatric ailments. The major benefit of these sound or music & acoustic signals that offers the technique so readily to use in non-invasive therapy is its ability to breach deep into the human body and supply to a specific site thermal or mechanical energy with sub-millimetre accuracy. In this paper an attempt is made to study the intervention of these sound frequencies in general and their effects on neuro-psychiatric mechanisms and allied phenomenon. The quantification of specific frequencies (Acoustic loops) which ...

Fractals

In this paper, a new computing technique is investigated for the cause of Mycobacterium ulcerans ... more In this paper, a new computing technique is investigated for the cause of Mycobacterium ulcerans (MU) with the help of differential equations through the SIR model. This study is carried out to find the cause between the ulcer and the environment for the spread of Buruli ulcer (BU). Fractional-order SIR model is applied to discuss in detail the BU disease. The construction and development of this given numerical scheme are performed for the SIR epidemiological model concerning the transmission dynamics of BUs. Mathematical modeling of the presented scheme with the help of stability techniques is accomplished. Further, the behavior of the scheme is accessed by the evaluation of the different parameters of interest. The attained numerical results are observed for the illustration of the benefit of introducing a fractional model. Finally, we profound that the presented numerical scheme maintains all required control measuring features of the corresponding dynamical system and decreases...

The interface of sound in general and music in particular has known and unknown dimensions in hum... more The interface of sound in general and music in particular has known and unknown dimensions in human physiology, human psychology and larger well-being of human health. Acoustic therapies and stimulation have been scientifically proven to have a powerful effect on the brain. Recent researches have shown that music can help in many aspects of the brain including pain reduction, stress relief, Seizure, Stroke, memory, and brain injuries. The intervention of sound or music as a type of treatment can be medicine less and mostly concentrates on selective sound frequencies or acoustic loops. In this paper an attempt is made to study the intervention of these sound frequencies in general and their effects on neuro-psychiatric mechanisms and allied phenomenon. The quantification of specific frequencies (Acoustic loops) which will ameliorate the various disorders after their identification can also be correlated with various biochemical parameters that will be analysed with regards to the cha...