MONOTONE METHOD FOR NONLINEAR HILFER FRACTIONAL REACTION-DIFFUSION EQUATIONS

Abstract

In this paper, we developed the existence and uniqueness results by monotonemethod for nonlinear fractional reaction-diffusion equation together with initial and boundary conditions. In this text the Hilfer fractional derivative is used to denote the time fractional derivative. The employment of monotone method generates two sequences of minimal and maximal solutions which converges to lower and upper solutions respectively.