EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH MULTI-POINT BOUNDARY VALUE PROBLEMS

Jiqiang Jiang; Hongchuan Wang

doi:10.11948/20180286

2019 Volume 9 Issue 6

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Jiqiang Jiang, Hongchuan Wang. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH MULTI-POINT BOUNDARY VALUE PROBLEMS[J]. Journal of Applied Analysis & Computation, 2019, 9(6): 2156-2168. doi: 10.11948/20180286

Citation:

Jiqiang Jiang, Hongchuan Wang. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH MULTI-POINT BOUNDARY VALUE PROBLEMS[J]. Journal of Applied Analysis & Computation, 2019, 9(6): 2156-2168. doi: 10.11948/20180286

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH MULTI-POINT BOUNDARY VALUE PROBLEMS

Jiqiang Jiang^1, ,,
Hongchuan Wang¹

1.
School of Mathematical Sciences, Qufu Normal University, No.57 Jingxuan West Road, Qufu, Shandong 273165, China

Corresponding author: Email address:qfjjq@163.com(J. Jiang)
Fund Project: The authors were supported by National Natural Science Foundation of China (11601048) and Doctoral Scientific Research Foundation of Qufu Normal University and Youth Foundation of Qufu Normal University (BSQD20130140)

Abstract

Abstract

In this paper, we study the existence and uniqueness solutions of a fractional differential equation with multi-point boundary value problems. By using the fixed point theorems, some new results are established and two examples are given to demonstrate the application of main results.
- Fractional differential equation /
- existence /
- uniqueness /
- multi-point /
- fixed point theorem
MSC: 26A33, 34B10, 34B15

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References

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