Volume 12 - Issue 2 (5) | PP: 85 - 95
Language : English
DOI : https://doi.org/10.31559/glm2022.12.2.5
DOI : https://doi.org/10.31559/glm2022.12.2.5
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Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations
| Received Date | Revised Date | Accepted Date | Publication Date |
| 8/5/2022 | 9/6/2022 | 22/6/2022 | 13/8/2022 |
Abstract
In this paper, we study the existence of solutions for fractional differential equations with the Caputo-Hadamard fractional derivative of order 2 (1, 2]. The uniqueness result is proved via Banach’s contraction mapping principle and the existence results are established by using the Schauder’s fixed point theorem. Furthermore, the Ulam-Hyers and Ulam-Hyers-Rassias stability of the proposed equation is employed. Some examples are given to illustrate the results.
How To Cite This Article
Anwar , A. K. & Murad , S. A. (2022). Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations. General Letters in Mathematics, 12 (2), 85-95, 10.31559/glm2022.12.2.5
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