An existence result for fractional integro-differential equations on Banach space

Mohammed S. Abdo, Satish K. Panchal

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 derivative and integral, Krasnoselskii fixed point theorem

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