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

Volume 22, Issue 4, pp 325--332
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.

### Share and Cite

##### ISRP Style

El-sayed El-hady, Süleyman Öğrekçi, On Hyers-Ulam-Rassias stability of fractional differential equations with Caputo derivative, Journal of Mathematics and Computer Science, 22 (2021), no. 4, 325--332

##### AMA Style

El-hady El-sayed, Öğrekçi Süleyman, On Hyers-Ulam-Rassias stability of fractional differential equations with Caputo derivative. J Math Comput SCI-JM. (2021); 22(4):325--332

##### Chicago/Turabian Style

El-hady, El-sayed, Öğrekçi, Süleyman. "On Hyers-Ulam-Rassias stability of fractional differential equations with Caputo derivative." Journal of Mathematics and Computer Science, 22, no. 4 (2021): 325--332

### Keywords

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

•  34A08
•  37C25

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