Hyers–Ulam–Rassias stability of fractional delay differential equations with Caputo derivative-Reference-Cited by-同舟云学术

Hyers–Ulam–Rassias stability of fractional delay differential equations with Caputo derivative

Published:2024-05-18 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Benzarouala Chaimaa¹,Tunç Cemil²^ORCID

Affiliation:

1. Faculty of Sciences, Department of Mathematics, Center CeReMAR, Laboratory LMSA Mohammed V University in Rabat Rabat Morocco

2. Department of Mathematics, Faculty of Sciences Van Yuzuncu Yil University Van Turkey

Abstract

This paper is devoted to the study of Hyers–Ulam–Rassias (HUR) stability of a nonlinear Caputo fractional delay differential equation (CFrDDE) with multiple variable time delays. We obtain two new theorems with regard to HUR stability of the CFrDDE on bounded and unbounded intervals. The method of the proofs is based on the fixed point approach. The HUR stability results of this paper have indispensable contributions to theory of Ulam stabilities of CFrDDEs and some earlier results in the literature.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10202

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