Browsing by Author "Varaporn Wattanakejorn"

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    A new study on the existence and stability to a system of coupled higher-order nonlinear BVP of hybrid FDEs under the p-Laplacian operator
    (American Institute of Mathematical Sciences, 2022) Abdulwasea Alkhazzan; Wadhah Al-Sadi; Varaporn Wattanakejorn; Hasib Khan; Thanin Sitthiwirattham; Sina Etemad; Shahram Rezapour; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th; S. Rezapour; Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran; email: sh.rezapour@azaruniv.ac.ir
    In this paper, we study a general system of fractional hybrid differential equations with a nonlinear _p-operator, and prove the existence of solution, uniqueness of solution and Hyers-Ulam stability. We use the Caputo fractional derivative in this system so that our system is more general and complex than other nonlinear systems studied before. To establish the results, Green functions are used to transform the considered hybrid boundary problem into a system of fractional integral equations. Then, with the help of the topological degree theorem, we derive some sufficient conditions that ensure the existence and uniqueness of solutions for the proposed system. Finally, an example is presented to show the validity and correctness of the obtained results. © 2022 the Author(s), licensee AIMS Press.
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    _-Contraction of HardyÐRogers type in supermetric spaces with applications
    (Springer Nature, 2024) Kamaleldin Abodayeh; Syed Khayyam Shah; Muhammad Sarwar; Varaporn Wattanakejorn; Thanin Sitthiwirattham; S.K. Shah; Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, 18800, Pakistan; email: khayyamshah0@gmail.com; V. Wattanakejorn; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: varaporn_wat@dusit.ac.th
    This article focuses on studying some fixed-point results via _-contraction of HardyÐRogers type in the context of supermetric space and ordered supermetric space. We also introduced rational-type z-contraction on supermetric space. For authenticity, some illustrative examples and applications have been included. © The Author(s) 2024.
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    Existence Solutions for Implicit Fractional Relaxation Differential Equations with Impulsive Delay Boundary Conditions
    (MDPI, 2022) Varaporn Wattanakejorn; Panjaiyan Karthikeyann; Sadhasivam Poornima; Kulandhaivel Karthikeyan; 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, Centre for Research and Development, KPR Institute of Engineering and Technology, Coimbatore, 641407, India; email: karthi_phd2010@yahoo.co.in
    The aim of this paper is to study the existence and uniqueness of solutions for nonlinear fractional relaxation impulsive implicit delay differential equations with boundary conditions. Some findings are established by applying the Banach contraction mapping principle and the Schauder fixed-point theorem. An example is provided that illustrates the theoretical results. © 2022 by the authors.
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    On a boundary value problem for fractional hahn integro-difference equations with four-point fractional integral boundary conditions
    (American Institute of Mathematical Sciences, 2022) Varaporn Wattanakejorn; 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 consisting of Hahn integro-difference equation supplemented with four-point fractional Hahn integral boundary conditions. The novelty of this problem lies in the fact that it contains two fractional Hahn difference operators and three fractional Hahn integrals with different quantum numbers and orders. Firstly, 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, we make use the classical BanachÕs and SchauderÕs fixed point theorems to establish existence and uniqueness results. An example is also constructed to illustrate the main results. Several properties of fractional Hahn integral that will be used in our study are also discussed. © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0).