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Noninstantaneous Impulsive Fractional Quantum Hahn Integro-Difference Boundary Value Problems

Author

Listed:
  • Surang Sitho

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

  • Chayapat Sudprasert

    (Intelligent and Nonlinear Dynamic Innovations, 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.)

  • Sotiris K. Ntouyas

    (Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
    Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, 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, 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 the existence and uniqueness results for noninstantaneous impulsive fractional quantum Hahn integro-difference boundary value problems with integral boundary conditions, by using Banach contraction mapping principle and Leray–Schauder nonlinear alternative. Examples are included illustrating the obtained results. To the best of our knowledge, no work has reported on the existence of solutions to the Hahn-difference equation with noninstantaneous impulses.

Suggested Citation

  • Surang Sitho & Chayapat Sudprasert & Sotiris K. Ntouyas & Jessada Tariboon, 2020. "Noninstantaneous Impulsive Fractional Quantum Hahn Integro-Difference Boundary Value Problems," Mathematics, MDPI, vol. 8(5), pages 1-15, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:671-:d:351522
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    References listed on IDEAS

    as
    1. Agarwal, Ravi & O'Regan, D. & Hristova, S., 2017. "Monotone iterative technique for the initial value problem for differential equations with non-instantaneous impulses," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 45-56.
    2. Bashir Ahmad & Sotiris K. Ntouyas & Ahmed Alsaedi, 2013. "A Study of Nonlinear Fractional Differential Equations of Arbitrary Order with Riemann-Liouville Type Multistrip Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, March.
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