EXISTENCE OF SOLUTIONS OF FRACTIONAL PARTIAL INTEGRODIFFERENTIAL EQUATIONS WITH NEUMANN BOUNDARY CONDITION

Abstract

The main purpose of this paper is to study the existence of solutions for the nonlinear fractional partial integrodifferential equations with Neumann boundary condition. Under suitable assumptions, the results are established by using the Leray-Schauder fixed point theorem and Arzela-Ascoli theorem. The examples are provided to illustrate the main result.