Existence and Uniqueness of Solutions for System of Nonlinear Fractional Reaction Diffusion Equations

Abstract

In this paper, to develop monotone method for non-linear system of Riemann-Liouville (R-L) reaction-diffusion equations with initial and boundary conditions. The monotone method yields monotone sequences which converges uniformly and monotonically to minimal and maximal solutions.To investigate the existence and uniqueness of solutions by monotone method for R-L reaction-diffusion equations with initial and boundary conditions.

Keywords

• riemann-liouville fractional derivative, eigenfunction, coupled lower and upper solutions, monotone method.