Reza Khoshsiar Ghaziani
Department of Applied Mathematics, Faculty of Mathematical Science, Shahrekord University, Shahrekord, P. O. Box 115, Iran
[ 1 ] - Solving multi-order fractional differential equations by reproducing kernel Hilbert space method
In this paper we propose a relatively new semi-analytical technique to approximate the solution of nonlinear multi-order fractional differential equations (FDEs). We present some results concerning to the uniqueness of solution of nonlinear multi-order FDEs and discuss the existence of solution for nonlinear multi-order FDEs in reproducing kernel Hilbert space (RKHS). We further give an error a...
[ 2 ] - Stability analysis of a fractional order prey-predator system with nonmonotonic functional response
In this paper, we introduce fractional order of a planar fractional prey-predator system with a nonmonotonic functional response and anti-predator behaviour such that the adult preys can attack vulnerable predators. We analyze the existence and stability of all possible equilibria. Numerical simulations reveal that anti-predator behaviour not only makes the coexistence of the prey and predator ...
[ 3 ] - Solving large systems arising from fractional models by preconditioned methods
This study develops and analyzes preconditioned Krylov subspace methods to solve linear systems arising from discretization of the time-independent space-fractional models. First, we apply shifted Grunwald formulas to obtain a stable finite difference approximation to fractional advection-diffusion equations. Then, we employee two preconditioned iterative methods, namely, the preconditioned gen...
[ 4 ] - the predator-prey discrete system codimention- 2 bifurcations
A discrete predator-prey system is presented. We study the existence and stability of the fixed point system. The conditions of existence of Flip and Neimark-sacker bifurcation is the system are derived. By using numerical continuation methods and MatContM toolbox. We compute bifurcation curves of fixed points and cycles with periods up to 32 under variation of one and to parameters, and comput...
Co-Authors