On Hyers-Ulam-Rassias stability of fractional differential equations with Caputo derivative

Volume 22, Issue 4, pp 325--332 http://dx.doi.org/10.22436/jmcs.022.04.02

Publication Date: September 04, 2020 Submission Date: June 17, 2020 Revision Date: July 22, 2020 Accteptance Date: July 23, 2020

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Authors

El-sayed El-hady - Mathematics Department, College of Science, Jouf University, P.O. Box: 2014, Sakaka, Saudi Arabia. - Basic Science Department, Faculty of Computers and Informatics, Suez Canal University, Ismailia, 41522, Egypt. Süleyman Öğrekçi - Department of Mathematics, Faculty of Arts and Science, Amasya University, Amasya, Turkey.

Abstract

In this article, we study the stability problem of some fractional differential equations in the sense of Hyers-Ulam and Hyers-Ulam-Rassias based on some fixed point techniques. In this way, we improve and generalize some recent results by dropping some basic assumptions.

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Keywords

• Hyers-Ulam stability
• fractional differential equation
• fixed point theory

MSC

•  34A08
•  37C25

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