| Volume 14, Number 5, 2024, Pages - DOI：10.11948/JAAC-2023-0481 |
| Hyers-Ulam-Rassias stability of κ-Caputo fractional differential equations |
| Hui Yao,Wenqi Jin,Qixiang Dong |
| Keywords:Fractional differential equations, Fixed point theorem, Existence, Hyers-Ulam-Rassias stability |
| Abstract: |
| The paper is connected with the existence of solutions and Hyers-Ulam stability for a class of nonlinear fractional differential equations with κ-Caputo fractional derivative in boundary value problems. The existence and uniqueness results are obtained by utilizing the Banach fixed point theorem and Leray-Schauder nonlinear alternative theorem. In addition, two sufficient conditions to guarantee the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of boundary value problems of fractional differential equations are also presented. Finally, theoretical results are illustrated by two numerical examples. |
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