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Existence results for a class of random delay integrodifferential equations

Amadou Diop, Mamadou Abdul Diop and K. Ezzinbi


In this paper, we consider a class of random partial integro-differential equations with unbounded delay. Existence of mild solutions are investigated by using a random fixed point theorem with a stochastic domain combined with Schauder’s fixed point theorem and Grimmer’s resolvent operator theory. The results are obtained under Carathéodory conditions. Finally, an example is provided to illustrate our results.

MSC 2010: 45D05; 34G20; 47J35

Communicated by Vyacheslav L. Girko


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Received: 2020-04-18
Accepted: 2021-01-27
Published Online: 2021-04-02
Published in Print: 2021-06-01

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