Research Communication | Open Access
Volume 2020 | Communication ID 26 |

Measure of Noncompactness and Fractional Integro-differential Equations With State-Dependent Non-local Conditions in Fréchet Spaces

Zohra Bouteffal, Sara Litimein, Mouffak Benchohra
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
01 November 2019
16 November 2019
10 March 2020

Abstract: This work deals with the existence of mild solutions for non-linear fractional integro-differential equations with state-dependent nonlocal condition. The technique used is a generalization of the classical Darbo fixed point theorem for Fr\'echet spaces associated with the concept of measures of noncompactness.