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