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Boundary Value Problems for Hilfer Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions

Author

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  • Athasit Wongcharoen

    (Department of Mechanical Engineering Technology, College of Industrial Engineering Technology, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
    These authors contributed equally to this work.)

  • Sotiris K. Ntouyas

    (Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
    Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematices, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
    These authors contributed equally to this work.)

  • Jessada Tariboon

    (Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
    These authors contributed equally to this work.)

Abstract

In this paper, we study boundary value problems for differential inclusions, involving Hilfer fractional derivatives and nonlocal integral boundary conditions. New existence results are obtained by using standard fixed point theorems for multivalued analysis. Examples illustrating our results are also presented.

Suggested Citation

  • Athasit Wongcharoen & Sotiris K. Ntouyas & Jessada Tariboon, 2020. "Boundary Value Problems for Hilfer Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions," Mathematics, MDPI, vol. 8(11), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1905-:d:438206
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    References listed on IDEAS

    as
    1. Wang, JinRong & Zhang, Yuruo, 2015. "Nonlocal initial value problems for differential equations with Hilfer fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 850-859.
    2. Athasit Wongcharoen & Sotiris K. Ntouyas & Jessada Tariboon & Kottakkaran Sooppy Nisar, 2020. "On Coupled Systems for Hilfer Fractional Differential Equations with Nonlocal Integral Boundary Conditions," Journal of Mathematics, Hindawi, vol. 2020, pages 1-12, July.
    3. Gu, Haibo & Trujillo, Juan J., 2015. "Existence of mild solution for evolution equation with Hilfer fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 344-354.
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