Browsing by Author "Thongchai Dumrongpokaphan"

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    A numerical scheme for fractional order mortgage model of economics
    (Elsevier B.V., 2023) Hafsa Naz; Thongchai Dumrongpokaphan; Thanin Sitthiwirattham; Hussam Alrabaiah; Khursheed J. Ansari; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    In this article, the famous mortgage model of economics is investigated by developing a numerical scheme. The considered model is proposed under the Caputo power law derivative of fractional order. Further, in the considered model by utilizing the time esteem of cash rule, we build up break even with vital and interest mortgage model that gives quickest installment plan with the least interest rate. The proposed scheme is based on some operational matrices of integration and differentiation of fractional order. For the required operational matrices, we use shifted Legendre polynomials. With the help of the operational matrices, we establish a numerical algorithm to convert the considered model to a system of Lyapunov matrix equation. By using Matlab, we then solve the resultant algebraic equation to get the required solution in numerical form. Further, we plot the approximate solution for various fractional order graphically. © 2023
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    Existence results of a coupled system of Caputo fractional Hahn difference equations with nonlocal fractional Hahn integral boundary value conditions
    (MDPI AG, 2018) Thongchai Dumrongpokaphan; Nichaphat Patanarapeelert; Thanin Sitthiwirattham; N. Patanarapeelert; Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand; email: nichaphat.p@sci.kmutnb.ac.th
    In this article, we propose a coupled system of Caputo fractional Hahn difference equations with nonlocal fractional Hahn integral boundary conditions. The existence and uniqueness result of solution for the problem is studied by using the Banach's fixed point theorem. Furthermore, the existence of at least one solution is presented by using the Schauder fixed point theorem. � 2018 by the authors.
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    Existence results of nonlocal Robin mixed Hahn and q-difference boundary value problems
    (Springer, 2020) Thongchai Dumrongpokaphan; Nichaphat Patanarapeelert; 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, we aim to study a nonlocal Robin boundary value problem for fractional sequential fractional Hahn-q-equation. The existence and uniqueness results for this problem are revealed by using the Banach fixed point theorem. In addition, the existence of at least one solution is studied by using SchauderÕs fixed point theorem. The theorems for existence results are obtained. © 2020, The Author(s).
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    Nonlocal neumann boundary value problem for fractional symmetric hahn integrodifference equations
    (MDPI, 2021) Thongchai Dumrongpokaphan; Nichaphat Patanarapeelert; Thanin Sitthiwirattham; N. Patanarapeelert; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: nichaphat.p@sci.kmutnb.ac.th; T. Sitthiwirattham; Department of Mathematics, Faculty of Applied Science, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: thanin_sit@dusit.ac.th
    In this article, we present a nonlocal Neumann boundary value problems for separate sequential fractional symmetric Hahn integrodifference equation. The problem contains five fractional symmetric Hahn difference operators and one fractional symmetric Hahn integral of different orders. We employ Banach fixed point theorem and SchauderÕs fixed point theorem to study the existence results of the problem. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
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    On sequential fractional q-Hahn integrodifference equations
    (MDPI AG, 2020) Thongchai Dumrongpokaphan; Nichaphat Patanarapeelert; Thanin Sitthiwirattham; N. Patanarapeelert; Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand; email: nichaphat.p@sci.kmutnb.ac.th
    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. © 2020 by the authors.
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    Separate fractional (P, q)-integrodifference equations via nonlocal fractional (p, q)-integral boundary conditions
    (MDPI, 2021) Thongchai Dumrongpokaphan; Sotiris K. Ntouyas; Thanin Sitthiwirattham; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    In this paper, we study a boundary value problem involving (p, q)-integrodifference equations, supplemented with nonlocal fractional (p, q)-integral boundary conditions with respect to asymmetric operators. First, we convert the given nonlinear problem into a fixed-point problem, by considering a linear variant of the problem at hand. Once the fixed-point operator is available, existence and uniqueness results are established using the classical BanachÕs and SchaeferÕs fixedpoint theorems. The application of the main results is demonstrated by presenting numerical examples. Moreover, we study some properties of (p, q)-integral that are used in our study. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.