Browsing by Author "Tanapat Brikshavana"

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    On fractional Hahn calculus
    (Springer International Publishing, 2017) Tanapat Brikshavana; Thanin Sitthiwirattham; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, Thailand; email: thanin_sit@dusit.ac.th
    In this paper, the new concepts of Hahn difference operators are introduced. The properties of fractional Hahn calculus in the sense of a forward Hahn difference operator are introduced and developed. � 2017, The Author(s).
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    On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations
    (Springer International Publishing, 2018) Nichaphat Patanarapeelert; Tanapat Brikshavana; Thanin Sitthiwirattham; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, Thailand; email: thanin_sit@dusit.ac.th
    The aim of this work is to study a nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equation. The problem contains two fractional Hahn difference operators and a fractional Hahn integral with different numbers of order. We use the Banach fixed point theorem to prove the existence and uniqueness of the solution. In particular, the existence of at least one solution is presented by using the Schauder fixed point theorem. � 2018, The Author(s).