Sabeena Kazi - Academia.edu (original) (raw)
Papers by Sabeena Kazi
2022 Fifth International Conference of Women in Data Science at Prince Sultan University (WiDS PSU)
2022 Fifth International Conference of Women in Data Science at Prince Sultan University (WiDS PSU)
Journal of Engineering and Applied Sciences
The number of distinct eigenvalues of the adjacency matrix of graph G is bounded below by d(G)+1,... more The number of distinct eigenvalues of the adjacency matrix of graph G is bounded below by d(G)+1, where d is the diameter of the graph. Graphs attaining this lower bound are known as minimal graphs. The spectrum of graph G, where G is a simple and undirected graph is the collection of different eigenvalues of the adjacency matrix with their multiplicities. This paper deals with the construction of non-regular minimal graphs, together with the study of their characteristic polynomial and spectra.
IEEE Access, 2020
In order to see the dynamics of prey-predator interaction, differential or difference equations a... more In order to see the dynamics of prey-predator interaction, differential or difference equations are frequently used for modeling of such interactions. In present manuscript, we explore some qualitative aspects of two-dimensional ratio-dependent predator-prey model. Taking into account the non-overlapping generations for class of predator-prey system, a novel consistency preserving scheme is proposed. Our study reveals that the implemented discretization is bifurcation preserving. Some dynamical aspects including local behavior of equilibria, phase-plane analysis and emergence of Hopf bifurcation for continuous predator-prey model are studied. Moreover, existence of biologically feasible fixed points, their local asymptotic behavior and phase-plane classification of interior (positive) fixed point are carried out. Furthermore, bifurcation theory of normal forms is implemented to prove that proposed discrete-time model undergoes Neimark-Sacker bifurcation around its unique positive fixed point. Taking into account the bifurcating and fluctuating behaviour of discrete system, three chaos control strategies are implemented. Numerical simulations are provided to illustrate the theoretical discussion and effectiveness of introduced chaos control methods.
Complexity, 2020
Abdeljawad et al. (2018) introduced a new concept, named double controlled metric type spaces, as... more Abdeljawad et al. (2018) introduced a new concept, named double controlled metric type spaces, as a generalization of the notion of extended b-metric spaces. In this paper, we extend their concept and introduce the concept of double controlled quasi-metric type spaces with two incomparable functions and prove some unique fixed point results involving new types of contraction conditions. Also, we introduce the concept of α−μ−k double controlled contraction and prove some related fixed point results. We give several examples to show that our results are the proper generalization of the existing works.
Journal of Thermal Analysis and Calorimetry, 2019
In the present study, a set of experiments were accomplished to appraise the thermal performance ... more In the present study, a set of experiments were accomplished to appraise the thermal performance and heat transfer of npentane-acetone and n-pentane-methanol mixtures inside a gravity-assisted thermosyphon heat pipe. Pure n-pentane, acetone and methanol were also tested as the carrying fluid to produce some reference data. The heat pipe was manufactured from copper with length and diameter of 290 and 20 mm, respectively. The effect of multiple factors covering the input heat to the evaporator section, the filling ratio of the carrying fluid, heat pipe tilt angle and also the type of the carrying fluid on temperature distribution and thermal performance of the heat pipe was investigated. The results demonstrated that the thermo-physical properties of the carrying fluid were the key factor controlling the heat pipe efficiency. The vapour pressure and boiling temperature of the carrying fluid controlled the thermal efficiency of the system such that for n-pentane-acetone, the highest thermal efficiency was obtained. Also, it was identified that the filling ratio of the system is a key operating factor such that the value of the filling ratio was small for the evaporative carrying fluid (binary mixtures), while it was large for the non-evaporative carrying fluids. Also, heat pipe tilt angle was impressed by the type of the carrying fluid; the optimum tilt angle was 55 degree for the binary mixtures, while it was 65°for the pure liquids.
Axioms, 2019
In this paper, we obtain a new series representation for the generalized Bose–Einstein and Fermi–... more In this paper, we obtain a new series representation for the generalized Bose–Einstein and Fermi–Dirac functions by using fractional Weyl transform. To achieve this purpose, we obtain an analytic continuation for these functions by generalizing the domain of Riemann zeta functions from (0<ℜ(s)<1) to 0<ℜ(s)<μ. This leads to fresh insights for a new generalization of the Riemann zeta function. The results are validated by obtaining the classical series representation of the polylogarithm and Hurwitz–Lerch zeta functions as special cases. Fractional derivatives and the relationship of the generalized Bose–Einstein and Fermi–Dirac functions with Apostol–Euler–Nörlund polynomials are established to prove new identities.
Journal of Discrete Mathematical Sciences and Cryptography
Abstract A chemical tree is a tree in which no vertex has a degree greater than four. Two trees T... more Abstract A chemical tree is a tree in which no vertex has a degree greater than four. Two trees T 1 and T 2 of same orders p, are said to be consecutive trees with respect to the energy, if there exists no tree T of order p satisfying E(T 1) < E(T) < E(T 2 ). In this paper the author gives the consecutive chemical trees with respect to energies with edge independence number, denoted by t p (i) where i is the edge independence number and i = 2, 3 and p is the number of vertices. And give the table listing all the possible energy consecutive chemical trees tp (i), i = 2, 3, their polynomials and energies.
2022 Fifth International Conference of Women in Data Science at Prince Sultan University (WiDS PSU)
2022 Fifth International Conference of Women in Data Science at Prince Sultan University (WiDS PSU)
Journal of Engineering and Applied Sciences
The number of distinct eigenvalues of the adjacency matrix of graph G is bounded below by d(G)+1,... more The number of distinct eigenvalues of the adjacency matrix of graph G is bounded below by d(G)+1, where d is the diameter of the graph. Graphs attaining this lower bound are known as minimal graphs. The spectrum of graph G, where G is a simple and undirected graph is the collection of different eigenvalues of the adjacency matrix with their multiplicities. This paper deals with the construction of non-regular minimal graphs, together with the study of their characteristic polynomial and spectra.
IEEE Access, 2020
In order to see the dynamics of prey-predator interaction, differential or difference equations a... more In order to see the dynamics of prey-predator interaction, differential or difference equations are frequently used for modeling of such interactions. In present manuscript, we explore some qualitative aspects of two-dimensional ratio-dependent predator-prey model. Taking into account the non-overlapping generations for class of predator-prey system, a novel consistency preserving scheme is proposed. Our study reveals that the implemented discretization is bifurcation preserving. Some dynamical aspects including local behavior of equilibria, phase-plane analysis and emergence of Hopf bifurcation for continuous predator-prey model are studied. Moreover, existence of biologically feasible fixed points, their local asymptotic behavior and phase-plane classification of interior (positive) fixed point are carried out. Furthermore, bifurcation theory of normal forms is implemented to prove that proposed discrete-time model undergoes Neimark-Sacker bifurcation around its unique positive fixed point. Taking into account the bifurcating and fluctuating behaviour of discrete system, three chaos control strategies are implemented. Numerical simulations are provided to illustrate the theoretical discussion and effectiveness of introduced chaos control methods.
Complexity, 2020
Abdeljawad et al. (2018) introduced a new concept, named double controlled metric type spaces, as... more Abdeljawad et al. (2018) introduced a new concept, named double controlled metric type spaces, as a generalization of the notion of extended b-metric spaces. In this paper, we extend their concept and introduce the concept of double controlled quasi-metric type spaces with two incomparable functions and prove some unique fixed point results involving new types of contraction conditions. Also, we introduce the concept of α−μ−k double controlled contraction and prove some related fixed point results. We give several examples to show that our results are the proper generalization of the existing works.
Journal of Thermal Analysis and Calorimetry, 2019
In the present study, a set of experiments were accomplished to appraise the thermal performance ... more In the present study, a set of experiments were accomplished to appraise the thermal performance and heat transfer of npentane-acetone and n-pentane-methanol mixtures inside a gravity-assisted thermosyphon heat pipe. Pure n-pentane, acetone and methanol were also tested as the carrying fluid to produce some reference data. The heat pipe was manufactured from copper with length and diameter of 290 and 20 mm, respectively. The effect of multiple factors covering the input heat to the evaporator section, the filling ratio of the carrying fluid, heat pipe tilt angle and also the type of the carrying fluid on temperature distribution and thermal performance of the heat pipe was investigated. The results demonstrated that the thermo-physical properties of the carrying fluid were the key factor controlling the heat pipe efficiency. The vapour pressure and boiling temperature of the carrying fluid controlled the thermal efficiency of the system such that for n-pentane-acetone, the highest thermal efficiency was obtained. Also, it was identified that the filling ratio of the system is a key operating factor such that the value of the filling ratio was small for the evaporative carrying fluid (binary mixtures), while it was large for the non-evaporative carrying fluids. Also, heat pipe tilt angle was impressed by the type of the carrying fluid; the optimum tilt angle was 55 degree for the binary mixtures, while it was 65°for the pure liquids.
Axioms, 2019
In this paper, we obtain a new series representation for the generalized Bose–Einstein and Fermi–... more In this paper, we obtain a new series representation for the generalized Bose–Einstein and Fermi–Dirac functions by using fractional Weyl transform. To achieve this purpose, we obtain an analytic continuation for these functions by generalizing the domain of Riemann zeta functions from (0<ℜ(s)<1) to 0<ℜ(s)<μ. This leads to fresh insights for a new generalization of the Riemann zeta function. The results are validated by obtaining the classical series representation of the polylogarithm and Hurwitz–Lerch zeta functions as special cases. Fractional derivatives and the relationship of the generalized Bose–Einstein and Fermi–Dirac functions with Apostol–Euler–Nörlund polynomials are established to prove new identities.
Journal of Discrete Mathematical Sciences and Cryptography
Abstract A chemical tree is a tree in which no vertex has a degree greater than four. Two trees T... more Abstract A chemical tree is a tree in which no vertex has a degree greater than four. Two trees T 1 and T 2 of same orders p, are said to be consecutive trees with respect to the energy, if there exists no tree T of order p satisfying E(T 1) < E(T) < E(T 2 ). In this paper the author gives the consecutive chemical trees with respect to energies with edge independence number, denoted by t p (i) where i is the edge independence number and i = 2, 3 and p is the number of vertices. And give the table listing all the possible energy consecutive chemical trees tp (i), i = 2, 3, their polynomials and energies.