Browsing by Author "Thitiporn Linitda"

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    Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions
    (MDPI, 2023) Thitiporn Linitda; Kulandhaivel Karthikeyan; Palanisamy Raja Sekar; Thanin Sitthiwirattham; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th; K. Karthikeyan; Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore, Tamil Nadu, 641407, India; email: karthikeyan.k@kpriet.ac.in
    In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and MonchÕs fixed point theorem. We also present an example, in order to elucidate one of the results discussed. © 2023 by the authors.
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    COVID-19 MODELLING WITH SQUARE ROOT SUSCEPTIBLE-INFECTED INTERACTION
    (Serbian Society of Heat Transfer Engineers, 2023) Nadia Gul; Anwar Zeb; Salih Djilali; Mazz Ullah; Zohreh Eskandari; Thitiporn Linitda; A. Zeb; Department of Mathematics, COMSATS University Islamabad, Abbottabad, Pakistan; email: thitiporn_lin@dusit.ac.th; T. Linitda; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, Thailand; email: anwar@cuiatd.edu.pk
    We propose a COVID-19 mathematical model related to functional shape with square root susceptible-infected interaction. Using the Hurwitz criterion and then a graph theoretical-method for the construction of a Lyapunov function, we discuss both local and global stability. The analytical solution of the system is obtained in a special case. A non-standard finite difference scheme is then developed with the aim to obtain a proper discrete-time version of the model. Simulations show a good agreement between the proposed discretization and the results given by standard numerical methods. © 2023 Society of Thermal Engineers of Serbia Published by the Vin_a Institute of Nuclear Sciences, Belgrade, Serbia. This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions
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    Existence results of sequential fractional Caputo sum-difference boundary value problem
    (American Institute of Mathematical Sciences, 2022) Chanisara Metpattarahiran; Thitiporn Linitda; Thanin Sitthiwirattham; T. Linitda; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thitiporn_lin@dusit.ac.th
    In this article, we study the existence and uniqueness results for a sequential nonlinear Caputo fractional sum-difference equation with fractional difference boundary conditions by using the Banach contraction principle and SchaeferÕs fixed point theorem. Furthermore, we also show the existence of a positive solution. Our problem contains different orders and four fractional difference operators. Finally, we present an example to display the importance of these results. © 2022 the Author(s), licensee AIMS Press.
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    On nonlocal Neumann boundary value problem for a second-order forward (_, _) -difference equation
    (Springer International Publishing, 2018) Thitiporn Linitda; Saowaluck Chasreechai; S. Chasreechai; Department of Mathematics, Faculty of Applied Science, King Mongkut�s University of Technology North Bangkok, Bangkok, Thailand; email: saowaluck.c@sci.kmutnb.ac.th
    In this paper, we present some properties of the forward (_, _) -difference operators, and the existence results of two nonlocal boundary value problems for second-order forward (_, _) -difference equations. The existence and uniqueness results are proved by using the Banach fixed point theorem, and the existence of at least one positive solution is established by using the Krasnoselskii� fixed point theorem. � 2018, The Author(s).