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On Sequential Fractional q -Hahn Integrodifference Equations

Author

Listed:
  • Thongchai Dumrongpokaphan

    (Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Nichaphat Patanarapeelert

    (Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand)

  • Thanin Sitthiwirattham

    (Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand)

Abstract

In this paper, we prove existence and uniqueness results for a fractional sequential fractional q -Hahn integrodifference equation with nonlocal mixed fractional q and fractional Hahn integral boundary condition, which is a new idea that studies q and Hahn calculus simultaneously.

Suggested Citation

  • Thongchai Dumrongpokaphan & Nichaphat Patanarapeelert & Thanin Sitthiwirattham, 2020. "On Sequential Fractional q -Hahn Integrodifference Equations," Mathematics, MDPI, vol. 8(5), pages 1-14, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:753-:d:355780
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    References listed on IDEAS

    as
    1. Dumitru Baleanu & Praveen Agarwal, 2014. "Certain Inequalities Involving the Fractional -Integral Operators," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, April.
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    Cited by:

    1. Rezapour, Sh. & Kumar, S. & Iqbal, M.Q. & Hussain, A. & Etemad, S., 2022. "On two abstract Caputo multi-term sequential fractional boundary value problems under the integral conditions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 365-382.

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