Random Caputo-Fabrizio fractional differential inclusions

Saïd Abbas; Mouffak Benchohra; Johnny Henderson; Saïd Abbas; Mouffak Benchohra; Johnny Henderson

doi:10.3934/mmc.2021008

Mathematical Modelling and Control

2021, Volume 1, Issue 2: 102-111. doi: 10.3934/mmc.2021008

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Research article

Random Caputo-Fabrizio fractional differential inclusions

1.
Department of Mathematics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria
2.
Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
3.
Department of Mathematics, Baylor University, Waco, Texas 76798-7328 USA

Received: 22 April 2021 Accepted: 06 June 2021 Published: 22 June 2021

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.
- random functional differential inclusion,
- Caputo-Fabrizio fractional derivative,
- convex,
- non-convex,
- existence,
- Ulam stability,
- random solution,
- fixed point
Citation: Saïd Abbas, Mouffak Benchohra, Johnny Henderson. Random Caputo-Fabrizio fractional differential inclusions[J]. Mathematical Modelling and Control, 2021, 1(2): 102-111. doi: 10.3934/mmc.2021008

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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.

References

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