EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATION THREE-POINT BOUNDARY VALUE PROBLEMS

Yan Sun; Kai Yan

doi:10.11948/2016061

2016 Volume 6 Issue 4

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Yan Sun, Kai Yan. EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATION THREE-POINT BOUNDARY VALUE PROBLEMS[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 939-949. doi: 10.11948/2016061

Citation:

Yan Sun, Kai Yan. EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATION THREE-POINT BOUNDARY VALUE PROBLEMS[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 939-949. doi: 10.11948/2016061

EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATION THREE-POINT BOUNDARY VALUE PROBLEMS

Yan Sun,
Kai Yan

Department of Mathematics, Shanghai Normal University, 100 Shanghai Guilin Road, 200234 Shanghai, China

Fund Project:

Abstract

Abstract

In this paper, by using some fixed point theorems, the existence of unique solution and the existence of at least one solution for a fractional differential equation three-point boundary value problems are established. Finally, some illustrative examples are presented to demonstrate the validity of the main results.
- Fractional differential equations /
- existence /
- fixed point theorem
MSC: 34A08;34B15

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References

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