Title of article :
An Existence Result for Fractional Integro-Differential Equations in Banach Spaces
Author/Authors :
Wahash, H. A Research Scholar at Dr. Babasaheb Ambedkar Marathwada University , Abdo, Mohammed S Research Scholar at Dr. Babasaheb Ambedkar Marathwada University , Panchal, Satish K Research Scholar at Dr. Babasaheb Ambedkar Marathwada University
Abstract :
In this paper, we consider a class of nonlinear fractional integro-differential equations with fractional derivative of Caputo sense. We shall rely on the Krasnoselskii fixed point theorem to obtain the existence result in Banach spaces. Moreover, one of Krasnoselskii-Krein conditions is applied to establish the result. Finally, an illustrative example is also presented.
Keywords :
Integro-differential equations , fractional deriva- tive and integral , Krasnoselskii fixed point theorem
