THE STUDY ON THE CYCLIC GENERALIZED ANTI-PERIODIC BOUNDARY VALUE PROBLEMS OF THE TRIPLED FRACTIONAL LANGEVIN DIFFERENTIAL SYSTEMS

Jinxiu Liu; Tengfei Shen; Xiaohui Shen

doi:10.11948/20240446

2025 Volume 15 Issue 4

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Jinxiu Liu, Tengfei Shen, Xiaohui Shen. THE STUDY ON THE CYCLIC GENERALIZED ANTI-PERIODIC BOUNDARY VALUE PROBLEMS OF THE TRIPLED FRACTIONAL LANGEVIN DIFFERENTIAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 2301-2326. doi: 10.11948/20240446

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Jinxiu Liu, Tengfei Shen, Xiaohui Shen. THE STUDY ON THE CYCLIC GENERALIZED ANTI-PERIODIC BOUNDARY VALUE PROBLEMS OF THE TRIPLED FRACTIONAL LANGEVIN DIFFERENTIAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 2301-2326. doi: 10.11948/20240446

THE STUDY ON THE CYCLIC GENERALIZED ANTI-PERIODIC BOUNDARY VALUE PROBLEMS OF THE TRIPLED FRACTIONAL LANGEVIN DIFFERENTIAL SYSTEMS

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

Author Bio: Email: LJX010416@163.com(J. Liu); Email: shenxiaohuicool@163.com(X. Shen)
Corresponding author: Email: stfcool@126.com (T. Shen)
Fund Project: This paper is supported by the National Natural Science Foundation of China (No. 12101532) and the Natural Science Research Project of Anhui Educational Committee (No. 2024AH051679)

Abstract

Abstract

The purpose of this paper is to deal with the cyclic generalized anti-periodic boundary value problems of the tripled fractional Langevin differential systems. By using some fixed theorems, the existence and uniqueness of solutions to the problem have been obtained. Moreover, the Ulam-Hyers stability of the problem has also been presented. Furthermore, some examples are supplied to verify our main results.
- Fractional Langevin differential system /
- boundary value problem /
- well-posedness /
- Ulam-Hyers stability /
- fixed point
MSC: 26A33, 34A08, 34B15

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References

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