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Research Article | Open Access

Random Caputo-Fabrizio fractional differential inclusions

Saïd Abbas1, Mouffak Benchohra2, Johnny Henderson3( )
Department of Mathematics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria
Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
Department of Mathematics, Baylor University, Waco, Texas 76798-7328 USA
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Abstract

This paper deals with some existence and Ulam stability results for Caputo-Fabrizio type fractional differential inclusions with convex and non-convex right hand side. We employ some multi-valued random fixed point theorems and the notion of the generalized Ulam-Hyers-Rassias stability. Next we present two examples in the last section.

Keywords

random functional differential inclusionCaputo-Fabrizio fractional derivativeconvexnon-convexexistenceUlam stabilityrandom solutionfixed point

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Mathematical Modelling and Control
Volume 1 Issue 2,
June 2021
Pages 102-111
DOI: 10.3934/mmc.2021008

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Cite this article:
Abbas S, Benchohra M, Henderson J. Random Caputo-Fabrizio fractional differential inclusions. Mathematical Modelling and Control, 2021, 1(2): 102-111. https://doi.org/10.3934/mmc.2021008

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Received: 22 April 2021
Accepted: 06 June 2021
Published: 15 June 2021
©2021 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)