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On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique

Author

Listed:
  • Ahmed Refice

    (Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Sidi bel Abbes 22000, Algeria
    These authors contributed equally to this work.)

  • Mohammed Said Souid

    (Department of Economic Sciences, University of Tiaret, Tiaret 14035, Algeria
    These authors contributed equally to this work.)

  • Ivanka Stamova

    (Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA
    These authors contributed equally to this work.)

Abstract

In this manuscript, we examine both the existence and the stability of solutions of the boundary value problems of Hadamard-type fractional differential equations of variable order. New outcomes are obtained in this paper based on the Darbo’s fixed point theorem (DFPT) combined with Kuratowski measure of noncompactness (KMNC). We construct an example to illustrate the validity of the observed results.

Suggested Citation

  • Ahmed Refice & Mohammed Said Souid & Ivanka Stamova, 2021. "On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique," Mathematics, MDPI, vol. 9(10), pages 1-16, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:10:p:1134-:d:556063
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    References listed on IDEAS

    as
    1. Almeida, Ricardo & Torres, Delfim F.M., 2015. "Computing Hadamard type operators of variable fractional order," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 74-88.
    2. Erdal Karapınar & Andreea Fulga & Maliha Rashid & Lariab Shahid & Hassen Aydi, 2019. "Large Contractions on Quasi-Metric Spaces with an Application to Nonlinear Fractional Differential Equations," Mathematics, MDPI, vol. 7(5), pages 1-11, May.
    Full references (including those not matched with items on IDEAS)

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