Fractional neutral functional differential equations driven by the Rosenblatt process with an infinite delay

Author:

Lahmoudi Ahmed1,Lakhel El Hassan1

Affiliation:

1. National School of Applied Sciences , Cadi Ayyad University , 46000 Safi , Morocco

Abstract

Abstract This paper concerns a class of fractional impulsive neutral functional differential equations with an infinite delay driven by the Rosenblatt process. A set of sufficient conditions are established for the existence of new mild solutions using fixed point theory. Finally, an illustrative example is provided to demonstrate the applicability of the theoretical result.

Publisher

Walter de Gruyter GmbH

Subject

Statistics and Probability,Analysis

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