sundas shahzeen - Academia.edu (original) (raw)
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Instituto Federal de Educação, Ciência e Tecnologia do Piauí
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Papers by sundas shahzeen
Frontiers in physics, Jan 29, 2024
Chemical kinetics is a branch of chemistry that investigates the rates of chemical reactions and ... more Chemical kinetics is a branch of chemistry that investigates the rates of chemical reactions and has applications in cosmology, geology, and physiology. In this study, we develop a mathematical model for chemical reactions based on enzyme dynamics and kinetics, which is a two-step substrate-enzyme reversible reaction, applying chemical kinetics-based modeling of enzyme functions. The non-linear differential equations are transformed into fractional-order systems utilizing the constant proportional Caputo-Fabrizio (CPCF) and constant proportional Atangana-Baleanu-Caputo (CPABC) operators. The system of fractional differential equations is simulated using the Laplace-Adomian decomposition method at different fractional orders through simulations and numerical results. Both qualitative and quantitative analyses such as boundedness, positivity, unique solution, and feasible concentration for the proposed model with different hybrid operators are provided. The stability analysis of the proposed scheme is also verified using Picard's stable condition through the fixed point theorem.
Expert Systems
Monkeypox virus is one of the major causes of both smallpox and cowpox infection in our society. ... more Monkeypox virus is one of the major causes of both smallpox and cowpox infection in our society. It is typically located next to tropical rain forests in remote villages in Central and West Africa. The disease is brought on by the monkeypox virus, a member of the Orthopoxvirus genus and the Poxviridae family. For analysis and the dynamical behaviour of the monkeypox virus infection, we developed a fractional order model with the Mittag‐Leffler kernel. The uniqueness, positivity, and boundedness of the model are treated with fixed point theory results. A Lyapunov function is used to construct both local and global asymptotic stability of the system for both endemic and disease‐free equilibrium points. Finally, numerical simulations are carried out using the effective numerical scheme with an extended Mittag‐Leffler function to demonstrate the accuracy of the suggested approaches.
International Journal of Contemporary Mathematical Sciences, 2014
The intended objective of this paper is to extend the Hermite polynomials based on hypergeometric... more The intended objective of this paper is to extend the Hermite polynomials based on hypergeometric functions and to prove basic properties of the extended Hermite polynomials.
IEEE Access, 2019
The study was supported byŞTraining Program for Young Innovative Talents in Universities of Heilo... more The study was supported byŞTraining Program for Young Innovative Talents in Universities of Heilongjiang Province, China (UNPYSCT-2017175).
Frontiers in physics, Jan 29, 2024
Chemical kinetics is a branch of chemistry that investigates the rates of chemical reactions and ... more Chemical kinetics is a branch of chemistry that investigates the rates of chemical reactions and has applications in cosmology, geology, and physiology. In this study, we develop a mathematical model for chemical reactions based on enzyme dynamics and kinetics, which is a two-step substrate-enzyme reversible reaction, applying chemical kinetics-based modeling of enzyme functions. The non-linear differential equations are transformed into fractional-order systems utilizing the constant proportional Caputo-Fabrizio (CPCF) and constant proportional Atangana-Baleanu-Caputo (CPABC) operators. The system of fractional differential equations is simulated using the Laplace-Adomian decomposition method at different fractional orders through simulations and numerical results. Both qualitative and quantitative analyses such as boundedness, positivity, unique solution, and feasible concentration for the proposed model with different hybrid operators are provided. The stability analysis of the proposed scheme is also verified using Picard's stable condition through the fixed point theorem.
Expert Systems
Monkeypox virus is one of the major causes of both smallpox and cowpox infection in our society. ... more Monkeypox virus is one of the major causes of both smallpox and cowpox infection in our society. It is typically located next to tropical rain forests in remote villages in Central and West Africa. The disease is brought on by the monkeypox virus, a member of the Orthopoxvirus genus and the Poxviridae family. For analysis and the dynamical behaviour of the monkeypox virus infection, we developed a fractional order model with the Mittag‐Leffler kernel. The uniqueness, positivity, and boundedness of the model are treated with fixed point theory results. A Lyapunov function is used to construct both local and global asymptotic stability of the system for both endemic and disease‐free equilibrium points. Finally, numerical simulations are carried out using the effective numerical scheme with an extended Mittag‐Leffler function to demonstrate the accuracy of the suggested approaches.
International Journal of Contemporary Mathematical Sciences, 2014
The intended objective of this paper is to extend the Hermite polynomials based on hypergeometric... more The intended objective of this paper is to extend the Hermite polynomials based on hypergeometric functions and to prove basic properties of the extended Hermite polynomials.
IEEE Access, 2019
The study was supported byŞTraining Program for Young Innovative Talents in Universities of Heilo... more The study was supported byŞTraining Program for Young Innovative Talents in Universities of Heilongjiang Province, China (UNPYSCT-2017175).