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Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance

Author

Listed:
  • Wei Zhang

    (School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China)

  • Wenbin Liu

    (School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China)

Abstract

This paper aims to investigate a class of fractional multi-point boundary value problems at resonance on an infinite interval. New existence results are obtained for the given problem using Mawhin’s coincidence degree theory. Moreover, two examples are given to illustrate the main results.

Suggested Citation

  • Wei Zhang & Wenbin Liu, 2020. "Existence of Solutions for Fractional Multi-Point Boundary Value Problems on an Infinite Interval at Resonance," Mathematics, MDPI, vol. 8(1), pages 1-22, January.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:1:p:126-:d:308576
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    References listed on IDEAS

    as
    1. Ahmad, Bashir & Luca, Rodica, 2018. "Existence of solutions for sequential fractional integro-differential equations and inclusions with nonlocal boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 516-534.
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