Existence and uniqueness of solutions for nonlinear fractional neutral integrodifferential equations with nonlocal boundary conditions

Abstract

In this article we study on existence of solutions for a nonlinear fractional neutral integrodifferential equations with nonlocal boundary conditions by using Krasnaoselskii’s fixed point theorem and also find a uniqueness of solutions for the same problem by using Banach contraction principle. At the end, an example is presented to illustrate the obtained results.