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Tripled Fixed Points and Existence Study to a Tripled Impulsive Fractional Differential System via Measures of Noncompactness

Author

Listed:
  • Sina Etemad

    (Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, Iran
    These authors contributed equally to this work.)

  • Mohammed M. Matar

    (Department of Mathematics, Al-Azhar University-Gaza, Gaza P.O. Box 1277, Palestine
    These authors contributed equally to this work.)

  • Maria Alessandra Ragusa

    (Dipartimento di Matematica e Informatica, Universita di Catania, Viale Andrea Doria 6, 95125 Catania, Italy
    RUDN University, 6 Miklukho-Maklay St., 117198 Moscow, Russia
    These authors contributed equally to this work.)

  • Shahram Rezapour

    (Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, Iran
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    These authors contributed equally to this work.)

Abstract

In this paper, a tripled fractional differential system is introduced as three associated impulsive equations. The existence investigation of the solution is based on contraction principle and measures of noncompactness in terms of tripled fixed point and modulus of continuity. Our results are valid for both Kuratowski and Hausdorff measures of noncompactness. As an application, we apply the obtained results to a control problem.

Suggested Citation

  • Sina Etemad & Mohammed M. Matar & Maria Alessandra Ragusa & Shahram Rezapour, 2021. "Tripled Fixed Points and Existence Study to a Tripled Impulsive Fractional Differential System via Measures of Noncompactness," Mathematics, MDPI, vol. 10(1), pages 1-17, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2021:i:1:p:25-:d:708304
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    References listed on IDEAS

    as
    1. Mohammed M. Matar & Esmail S. Abu Skhail, 2018. "On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order," Journal of Mathematics, Hindawi, vol. 2018, pages 1-10, August.
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