EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A COUPLED SYSTEM OF HILFER-HADAMARD SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT FRACTIONAL INTEGRAL BOUNDARY CONDITIONS

Tian Dong; Jiqiang Jiang; Guoqiang Chen; Yixue Zhang; Na Li

doi:10.11948/20260039

2026 Volume 16 Issue 6

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Tian Dong, Jiqiang Jiang, Guoqiang Chen, Yixue Zhang, Na Li. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A COUPLED SYSTEM OF HILFER-HADAMARD SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT FRACTIONAL INTEGRAL BOUNDARY CONDITIONS[J]. Journal of Applied Analysis & Computation, 2026, 16(6): 2851-2874. doi: 10.11948/20260039

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Tian Dong, Jiqiang Jiang, Guoqiang Chen, Yixue Zhang, Na Li. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A COUPLED SYSTEM OF HILFER-HADAMARD SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT FRACTIONAL INTEGRAL BOUNDARY CONDITIONS[J]. Journal of Applied Analysis & Computation, 2026, 16(6): 2851-2874. doi: 10.11948/20260039

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A COUPLED SYSTEM OF HILFER-HADAMARD SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-POINT FRACTIONAL INTEGRAL BOUNDARY CONDITIONS

1.
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China
2.
Dongying Vocational College, Dongying 257091, Shandong, China

Author Bio: Email: 13898143296@163.com(T. Dong); Email: 252221190@qq.com(G. Chen); Email: 2404609696@qq.com(Y. Zhang); Email: 35007498@qq.com(N. Li)
Corresponding author: Email: qfjjq@163.com(J. Jiang)

Abstract

Abstract

In this paper, we investigate the existence and uniqueness of solutions for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point Riemann-Liouville fractional integral boundary value conditions. The existence of solutions is derived by applying Leray-Schauder alternative theorem, while the existence and uniqueness of solutions is established using the Banach fixed point theorem. In the end, two examples are included to illustrate the applicability of the results.
- Coupled system /
- Hilfer-Hadamard fractional derivative /
- sequential fractional /
- boundary value problem /
- existence and uniqueness
MSC: 26A33, 34B10, 34B15

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References

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