The aim of this paper is to develop a fractional order mathematical model for describing the dispersal of Hepatitis B virus (HBV). We also provide a rigorous mathematical analysis of the stability of the disease-free balance and the endemic balance of the system based on the number of computed reproductions. Here the infectious disease HBV model is described mathematically in a nonlinear system of differential equations in a caputo sense, and hence Jacobi collocation method is used to reduce into a system of nonlinear equations. Finally, Newton Raphson method is used for the systems of nonlinear equations to arrive at an approximate solution and MATLAB 2018 has helped us to simulate the nature of each compartment and effects of the possible control strategies (i.e., vaccination and isolation).
This paper provides a numerical approach for solving the time-fractional Fokker-Planck equation (FFPE). The authors use the shifted Chebyshev collocation method and the finite difference method (FDM) to present the fractional Fokker-Planck equation into systems of nonlinear equations; the Newton-Raphson method is used to produce approximate results for the nonlinear systems. The results obtained from the FFPE demonstrate the simplicity and efficiency of the proposed method.
In this paper, we establish extensive form of the fractional kinetic equation involving generalized Galué type Struve function using the technique of Laplace transforms. The results are expressed in terms of Mittag-Leffler function. Further, numerical values of the results and their graphical interpretation are interpreted to study the behaviour of these solutions. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.
Abstract. The aim of this paper is to establish certain integrals involving product of the Aleph function with Srivastava's polynomials and Fox-Wright's Generalized Hypergeometric function. Being unified and general in nature, these integrals yield a number of known and new results as special cases. For the sake of illustration, four corollaries are also recorded here as special case of our main results.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.