FRACTIONAL BOUNDARY VALUE PROBLEM WITH NABLA DIFFERENCE EQUATION

Qiaoluan Li; Yani Liu; Lina Zhou

doi:10.11948/20200118

2021 Volume 11 Issue 2

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Qiaoluan Li, Yani Liu, Lina Zhou. FRACTIONAL BOUNDARY VALUE PROBLEM WITH NABLA DIFFERENCE EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(2): 911-919. doi: 10.11948/20200118

Citation:

Qiaoluan Li, Yani Liu, Lina Zhou. FRACTIONAL BOUNDARY VALUE PROBLEM WITH NABLA DIFFERENCE EQUATION[J]. Journal of Applied Analysis & Computation, 2021, 11(2): 911-919. doi: 10.11948/20200118

FRACTIONAL BOUNDARY VALUE PROBLEM WITH NABLA DIFFERENCE EQUATION

1.
School of Mathematical Sciences, Hebei Normal University, Nanerhuan East Road, Shijiazhuang, Hebei, 050024, China

Corresponding author: Email: lnazhou@163.com(L. Zhou)
Fund Project: The authors were supported by National Natural Science Foundation of China (11971145)

Abstract

Abstract

In the paper, using Z-transform technique, we study eigenvalues and eigenfunctions for a fractional boundary value problem with linear nabla difference equation. Furthermore, by topological degree theory and the obtained results of eigenvalues, we get at least one nontrivial solution for relevant nonlinear fractional boundary value problem.
- Fractional difference equation /
- existence /
- eigenvalue
MSC: 26A33, 34A08, 34B09

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References

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