RESEARCH ON BOUNDARY VALUE PROBLEMS FOR A COUPLE OF $\psi $-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO DELAYS

Ting Guo; Xiaohui Shen

doi:10.11948/20250342

2026 Volume 16 Issue 6

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Ting Guo, Xiaohui Shen. RESEARCH ON BOUNDARY VALUE PROBLEMS FOR A COUPLE OF $\psi $-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO DELAYS[J]. Journal of Applied Analysis & Computation, 2026, 16(6): 2945-2961. doi: 10.11948/20250342

Citation:

Ting Guo, Xiaohui Shen. RESEARCH ON BOUNDARY VALUE PROBLEMS FOR A COUPLE OF $\psi $-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO DELAYS[J]. Journal of Applied Analysis & Computation, 2026, 16(6): 2945-2961. doi: 10.11948/20250342

RESEARCH ON BOUNDARY VALUE PROBLEMS FOR A COUPLE OF $\psi $-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO DELAYS

Ting Guo^1,,
Xiaohui Shen^1, ,

1.
School of Mathematics and Statistics, Huaibei Normal University, Huaibei, Anhui 235000, China

Author Bio: Email: guo0602422@163.com(T. Guo)
Corresponding author: Email: shenxiaohuicool@163.com(X. Shen)

Abstract

Abstract

The purpose of this paper is to discuss boundary value problems for a couple of $ \psi $-Caputo fractional differential equations with two delays. By applying the Banach fixed point theorem and the Leray-Schauder alternative theorem, some new results on the existence and uniqueness of solution for this type of problems have been established. Moreover, two examples are supplied to verify our main results.
- ψ-Caputo fractional differential equation /
- delay /
- boundary value problem
MSC: 26A33, 34G20, 34B1

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References

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