NONTRIVIAL SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR HIGHER-ORDER SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS

Shengli Xie; Yiming Xie

doi:10.11948/2018.938

2018 Volume 8 Issue 3

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Shengli Xie, Yiming Xie. NONTRIVIAL SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR HIGHER-ORDER SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 938-953. doi: 10.11948/2018.938

Citation:

Shengli Xie, Yiming Xie. NONTRIVIAL SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR HIGHER-ORDER SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 938-953. doi: 10.11948/2018.938

NONTRIVIAL SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR HIGHER-ORDER SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS

Shengli Xie¹,
Yiming Xie²

1 School of Mathematics & Physics, Urban Construction College, Anhui Jianzhu University, Hefei, China;
2 School of Civil Engineering, Anhui Jianzhu University, Hefei, China

Fund Project:

Abstract

Abstract

This paper deals with the existence and multiplicity of nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations with sign-changing nonlinear term. The main tool used in the proof is topological degree theory. Some examples explain that our results cannot be obtained by the method of cone theory.
- Singular fractional differential equation /
- nontrivial solution /
- topological degree /
- Riemann-Liouville fractional derivative
MSC: 34B10;34B16;34B27;45G10

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References

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