Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces

Abstract

This paper deals with the existence of mild solutions for non-linear fractional integrodifferential equations with state-dependent nonlocal conditions. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces associated with the concept of measures ′ of noncompactness. An application of the main result has been included.