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Stochastic fractional differential inclusion driven by fractional Brownian motion

  • Rahma Yasmina Moulay Hachemi and Toufik Guendouzi EMAIL logo
Published/Copyright: October 27, 2023

Abstract

In this paper, we prove the existence result for a mild solution of a fractional stochastic evolution inclusion involving the Caputo derivative in the Hilbert space driven by a fractional Brownian motion with the Hurst parameter H > 1 2 . The results are obtained by using fractional calculation, operator semigroups and the fixed point theorem for multivalued mappings.


Communicated by Anatoly F. Turbin


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Received: 2022-02-12
Accepted: 2022-12-01
Published Online: 2023-10-27
Published in Print: 2023-12-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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