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Resonant Integral Boundary Value Problems for Caputo Fractional Differential Equations

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  • Wenjie Ma
  • Shuman Meng
  • Yujun Cui

Abstract

This paper deals with the following Caputo fractional differential equations with Riemann-Stieltjes integral boundary conditions , where denotes the standard Caputo derivative, ; denotes the Riemann-Stieltjes integrals of with respect to . By mean of coincidence degree theory, we obtain the existence of solutions for the above fractional BVP at resonance. In the end, according to the main results, we give a typical example.

Suggested Citation

  • Wenjie Ma & Shuman Meng & Yujun Cui, 2018. "Resonant Integral Boundary Value Problems for Caputo Fractional Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, August.
    • Handle: RePEc:hin:jnlmpe:5438592
    DOI: 10.1155/2018/5438592
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    Cited by:

    1. Jiqiang Jiang & Donal O’Regan & Jiafa Xu & Yujun Cui, 2019. "Positive Solutions for a Hadamard Fractional p -Laplacian Three-Point Boundary Value Problem," Mathematics, MDPI, vol. 7(5), pages 1-20, May.
    2. Youzheng Ding & Jiafa Xu & Zhengqing Fu, 2019. "Positive Solutions for a System of Fractional Integral Boundary Value Problems of Riemann–Liouville Type Involving Semipositone Nonlinearities," Mathematics, MDPI, vol. 7(10), pages 1-19, October.

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