THREE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE

Chunfang Shen; Hui Zhou; Liu Yang

doi:10.11948/2018.1227

2018 Volume 8 Issue 4

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Chunfang Shen, Hui Zhou, Liu Yang. THREE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1227-1238. doi: 10.11948/2018.1227

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Chunfang Shen, Hui Zhou, Liu Yang. THREE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1227-1238. doi: 10.11948/2018.1227

THREE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE

Department of Mathematics, Hefei Normal University, 230061, Hefei, China

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Abstract

Abstract

In this paper, by using the Avery-Peterson fixed point theorem, we establish the existence result of at least three positive solutions of boundary value problem of nonlinear differential equation with Riemann-Liouville's fractional order derivative. An example illustrating our main result is given. Our results complements and extends previous work in the area of boundary value problems of nonlinear fractional differential equations.
- Fractional differential equation /
- fixed point /
- positive solution /
- cone /
- Avery-Peterson fixed point theorem
MSC: 26A33;34B15

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References

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