HYERS-ULAM-RASSIAS STABILITY OF <i>κ</i>-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

Hui Yao; Wenqi Jin; Qixiang Dong

doi:10.11948/20230481

2024 Volume 14 Issue 5

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Article navigation > Journal of Applied Analysis & Computation > 2024 > 14(5): 2903-2921

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Hui Yao, Wenqi Jin, Qixiang Dong. HYERS-ULAM-RASSIAS STABILITY OF κ-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2903-2921. doi: 10.11948/20230481

Citation:

Hui Yao, Wenqi Jin, Qixiang Dong. HYERS-ULAM-RASSIAS STABILITY OF κ-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(5): 2903-2921. doi: 10.11948/20230481

HYERS-ULAM-RASSIAS STABILITY OF κ-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

1.
School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu 225002, China

Author Bio: Email: yaohuiyzu@outlook.com(H. Yao); Email: wqjinmath@outlook.com(W. Jin)
Corresponding author: Email: qxdong@yzu.edu.cn(Q. Dong)

Abstract

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.
- Fractional differential equations /
- fixed point theorem /
- existence /
- Hyers-Ulam-Rassias stability
MSC: 34A08, 34D20, 47H10

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References

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