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

  • Ahmed Lahmoudi EMAIL logo and El Hassan Lakhel
Published/Copyright: June 27, 2023

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.


Communicated by Vyacheslav L. Girko


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Received: 2022-02-21
Accepted: 2023-03-20
Published Online: 2023-06-27
Published in Print: 2023-09-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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