Browsing by Author "Chanon Promsakon"
Now showing 1 - 15 of 15
Results Per Page
Sort Options
Item A new Approach of Generalized Fractional Integrals in Multiplicative Calculus and Related Hermite-Hadamard-Type Inequalities with Applications(Walter de Gruyter GmbH, 2024) Muhammad Aamir Ali; Michal Fe_kan; Chanon Promsakon; Thanin Sitthiwirattham; M. Fe_kan; Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Bratislava, Mlynsk‡ dolina, 842 48, Slovakia; email: michal.feckan@fmph.uniba.skThe primary goal of this paper is to define Katugampola fractional integrals in multiplicative calculus. A novel method for generalizing the multiplicative fractional integrals is the Katugampola fractional integrals in multiplicative calculus. The multiplicative Hadamard fractional integrals are also novel findings of this research and may be derived from the special situations of Katugampola fractional integrals. These integrals generalize to multiplicative Riemann-Liouville fractional integrals and multiplicative Hadamard fractional integrals. Moreover, we use the Katugampola fractional integrals to prove certain new Hermite-Hadamard and trapezoidal-type inequalities for multiplicative convex functions. Additionally, it is demonstrated that several of the previously established inequalities are generalized from the newly derived inequalities. Finally, we give some computational analysis of the inequalities proved in this paper. © 2024 Mathematical Institute Slovak Academy of Sciences.Item Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions(Elsevier Ltd, 2024) Sadam Hussain; Muhammad Sarwar; Kamaleldin Abodayeh; Chanon Promsakon; Thanin Sitthiwirattham; M. Sarwar; Department of Mathematics, University of Malakand, Dir Lower, Pakistan; email: sarwar@uom.edu.pk; C. Promsakon; Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand; email: chanon.p@sci.kmutnb.ac.thIn this paper, the controllability for Hilfer fractional neutral stochastic differential equations with infinite delay and nonlocal conditions has been investigated. Using concepts from fractional calculus, semigroup of operators, fixed-point theory, measures of noncompactness, and stochastic theory the main controllability conclusion is attained. The applications of the key findings are finally illustrated with two examples. © 2024 The Author(s)Item Existence and Uniqueness of Solutions for Fractional-Differential Equation with Boundary Condition Using Nonlinear Multi-Fractional Derivatives(Hindawi Limited, 2024) Chanon Promsakon; Intesham Ansari; Mecieu Wetsah; Anoop Kumar; Kulandhaivel Karthikeyan; Thanin Sitthiwirattham; T. Sitthiwirattham; Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand; email: thanin_sit@dusit.ac.th; K. Karthikeyan; Department of Mathematics and Centre for Research and Development, Kpr Institute of Engineering and Technology, Coimbatore, Tamil Nadu, 641-407, India; email: karthi_phd2010@yahoo.co.inIn this article the existence as well as the uniqueness (EU) of the solutions for nonlinear multiorder fractional-differential equations (FDE) with local boundary conditions and fractional derivatives of different orders (Caputo and Riemann-Liouville) are covered. The existence result is derived from Krasnoselskii's fixed point theorem and its uniqueness is shown using the Banach contraction mapping principle. To illustrate the reliability of the results, two examples are given. © 2024 Chanon Promsakon et al.Item Existence and Uniqueness Result for Fuzzy Fractional Order Goursat Partial Differential Equations(Multidisciplinary Digital Publishing Institute (MDPI), 2024) Muhammad Sarwar; Noor Jamal; Kamaleldin Abodayeh; Chanon Promsakon; Thanin Sitthiwirattham; M. Sarwar; Department of Mathematics, University of Malakand, Chakdara, Dir(L) Khyber Pakhtunkhwa, 18000, Pakistan; email: sarwar@uom.edu.pk; C. Promsakon; Department of Mathematics, Faculty of Applied Science, King MongkutÕs University of Technology North, Bangkok, 10800, Thailand; email: chanon.p@sci.kmutnb.ac.thIn this manuscript, we discuss fractional fuzzy Goursat problems with CaputoÕs (Formula presented.) -differentiability. The second-order mixed derivative term in Goursat problems and two types of CaputoÕs (Formula presented.) -differentiability pose challenges to dealing with Goursat problems. Therefore, in this study, we convert Goursat problems to equivalent systems fuzzy integral equations to deal properly with the mixed derivative term and two types of CaputoÕs (Formula presented.) -differentiability. In this study, we utilize the concept of metric fixed point theory to discuss the existence of a unique solution of fractional fuzzy Goursat problems. For the useability of established theoretical work, we provide some numerical problems. We also discuss the solutions to numerical problems by conformable double Laplace transform. To show the validity of the solutions we provide 3D plots. We discuss, as an application, why fractional partial fuzzy differential equations are the generalization of usual partial fuzzy differential equations by providing a suitable reason. Moreover, we show the advantages of the proposed fractional transform over the usual Laplace transform. © 2024 by the authors.Item Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions(Springer International Publishing, 2019) Chanon Promsakon; Saowaluck Chasreechai; Thanin Sitthiwirattham; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, Thailand; email: thanin_sit@dusit.ac.thIn this article, we study a coupled system of singular fractional difference equations with fractional sum boundary conditions. A sufficient condition of the existence of positive solutions is established by employing the upper and lower solutions of the system and using Schauder�s fixed point theorem. Finally, we provide an example to illustrate our results. � 2019, The Author(s).Item Existence of solution for fractional differential equations involving symmetric fuzzy numbers(American Institute of Mathematical Sciences, 2024) Muhammad Sarwar; Noor Jamal; Kamaleldin Abodayeh; Manel Hleili; Thanin Sitthiwirattham; Chanon Promsakon; M. Sarwar; Department of Mathematics, Univdersity of malakand, Dir Lower, Pakistan; email: sarwarswati@gmail.com; C. Promsakon; Department of Mathematics, Faculty of Applied Science, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: chanon.p@sci.kmutnb.ac.thLinear correlated fractional fuzzy differential equations (LCFFDEs) are one of the best tools for dealing with physical problems with uncertainty. The LCFFDEs mostly do not have unique solutions, especially if the basic fuzzy number is symmetric. The LCFFDEs of symmetric basic fuzzy numbers extend to the new system by extension and produce many solutions. The existing literature does not have any criteria to ensure the existence of unique solutions to LCFFDEs. In this study, we will explore the main causes of the extension and the unavailability of unique solutions. Next, we will discuss the existence and uniqueness conditions of LCFFDEs by using the concept of metric fixed point theory. For the useability of established results, we will also provide numerical examples and discuss their unique solutions. To show the authenticity of the solutions, we will also provide 2D and 3D plots of the solutions. © 2024 the Author(s), licensee AIMS Press.Item Fractional ostrowski type inequalities for differentiable harmonically convex functions(American Institute of Mathematical Sciences, 2022) Thanin Sitthiwirattham; Muhammad Aamir Ali; HŸseyin Budak; Sotiris K. Ntouyas; Chanon Promsakon; M.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.comIn this paper, we prove some new Ostrowski type inequalities for differentiable harmonically convex functions using generalized fractional integrals. Since we are using generalized fractional integrals to establish these inequalities, therefore we obtain some new inequalities of Ostrowski type for Riemann-Liouville fractional integrals and k-Riemann-Liouville fractional integrals in special cases. Finally, we give some applications to special means of real numbers for newly established inequalities. © 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).Item _iri_-type generalized F-contractions with integral inclusion in super metric spaces(Elsevier B.V., 2024) Kamaleldin Abodayeh; Syed Khayyam Shah; Muhammad Sarwar; Chanon Promsakon; Thanin Sitthiwirattham; S. Khayyam Shah; Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, 18800, Pakistan; email: Khayyamshah0@gmail.comThis study aims to explore _iri_-type generalized F-contractions, almost F-contractions, and the combination of these contractions in the framework of super metric spaces. These generalizations are significant because they hold where the usual metric conditions mayn't be fulfilled. Using the iteration method, fixed point results have been obtained for these contractions, and through examples and applications to integral inclusions and contractions, we extend existing literature significantly. This extension offers new insights and demonstrates practical relevance. © 2024 The Author(s)Item Modelling and Simulation of Fluid Flow through a Circular Cylinder with High Reynolds Number: A COMSOL Multiphysics Study(Hindawi Limited, 2022) Abid. A. Memon; M. Asif Memon; Kaleemullah Bhatti; Kavikumar Jacob; Thanin Sitthiwirattham; Chanon Promsakon; Ilyas Khan; A.A. Memon; Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, Sindh, 65200, Pakistan; email: abid.ali@iba-suk.edu.pk; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.thIn this study, we intend to investigate the steady-state and laminar flow of a viscous fluid through a circular cylinder fixed between two parallel plates keeping the aspect ratio of 1: 5 from cylinder radius to height of the channel. The two-dimensional, incompressible fluid flow problem has been simulated using COMSOL Multiphysics 5.4 which implements finite element's procedure. The flow pattern will be investigated by using the Reynolds number from 100 to 1000. The reattachment length formed at the back of the cylinder and drag force when the fluid comes to strike with the front surface of the cylinder is expressed in terms of Reynolds numbers. We propose to calculate the velocity and the pressure before and after the cylinder. For this purpose, two-line graphs before and after the cylinder will be drawn to check the impact of cylinder on both velocity and pressure. It was found that the percentage change in the velocity as well as pressure before to after the cylinder is changing their behaviours at Re = 700. The study is important because the empirical equations between the vortex's lengths formed along the cylinder using the linear regression process obtained in this study may be used for future implementation. © 2022 Abid. A. Memon et al.Item On generalizations of quantum SimpsonÕs and quantum newtonÕs inequalities with some parameters(American Institute of Mathematical Sciences, 2021) Chanon Promsakon; Muhammad Aamir Ali; HŸseyin Budak; Mujahid Abbas; Faheem Muhammad; Thanin Sitthiwirattham; M.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.com; T. Sitthiwirattham; Department of Medical research, China Medical University Hospital, China, Medical University, Taichung, Taiwan; email: sit@dusit.ac.thIn this paper, we prove two identities concerning quantum derivatives, quantum integrals, and some parameters. Using the newly proved identities, we prove new SimpsonÕs and NewtonÕs type inequalities for quantum differentiable convex functions with two and three parameters, respectively. We also look at the special cases of our key findings and find some new and old SimpsonÕs type inequalities, NewtonÕs type inequalities, midpoint type inequalities, and trapezoidal type inequalities. © 2021 the Author(s), licensee AIMS Press.Item On Implicit Atangana-Baleanu-Caputo Fractional Integro-Differential Equations with Delay and Impulses(Hindawi Limited, 2024) Panjaiyan Karthikeyann; Sadhasivam Poornima; Kulandhaivel Karthikeyan; Chanon Promsakon; Thanin Sitthiwirattham; K. Karthikeyan; Department of Mathematics, Kpr Institute of Engineering and Technology, Coimbatore, Tamil Nadu, 641407, India; email: karthi_phd2010@yahoo.co.in; T. Sitthiwirattham; Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand; email: thanin_sit@dusit.ac.thIn this paper, we study the existence and uniqueness of solutions for impulsive Atangana-Baleanu-Caputo ABC fractional integro-differential equations with boundary conditions. Schaefer's fixed point theorem and Banach contraction principle are used to prove the existence and uniqueness results. An example is presented to illustrate the results. © 2024 Panjaiyan Karthikeyann et al.Item ON SOME NEW AND GENERAL q-HERMITEÐHADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS(University of Miskolc, 2024) Zoya Abdullah; Awais Yousaf; Chanon Promsakon; Thanin Sitthiwirattham; A. Yousaf; Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan; email: awais.yousaf@iub.edu.pkIn this paper, we establish a new version of HermiteÐHadamard type inequality for convex functions. Moreover, we establish a general version of q-integral identity involving qdifferentiable functions to prove some new q-midpoint and q-trapezoidal type inequalities for q-differentiable convex functions. It is also shown that the newly established inequalities can be converted into some existing inequalities within the literature. Finally, we add some mathematical examples to show the validation of newly established inequalities. © 2024 The Author(s). Published by Miskolc University Press. This is an open access article under the license CC BY 4.0.Item Post-Quantum Midpoint-Type Inequalities Associated with Twice-Differentiable Functions(MDPI, 2022) Thanin Sitthiwirattham; Ghulam Murtaza; Muhammad Aamir Ali; Chanon Promsakon; Ifra Bashir Sial; Praveen Agarwal; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th; M.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.comIn this study, first we establish a (p, q)-integral identity involving the second (p, q)-derivative, and then, we use this result to prove some new midpoint-type inequalities for twice-(p, q)-differentiable convex functions. It is also shown that the newly established results are the refinements of the comparable results in the literature. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.Item Some Generalized Fractional Integral Inequalities for Convex Functions with Applications(MDPI, 2022) Dafang Zhao; Muhammad Aamir Ali; Chanon Promsakon; Thanin Sitthiwirattham; M.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.com; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.thIn this paper, we establish a generalized fractional integrals identity involving some parameters and differentiable functions. Then, we use the newly established identity and prove different generalized fractional integrals inequalities like midpoint inequalities, trapezoidal inequalities and SimpsonÕs inequalities for differentiable convex functions. Finally, we give some applications of newly established inequalities in the context of quadrature formulas. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.Item The sharmaÐmittal modelÕs implications on FRW universe in ChernÐSimons gravity(MDPI, 2021) Sarfraz Ali; Muhammad Hummad Waheed; Muhammad Imran Asjad; Khuram Ali Khan; Thanin Sitthiwirattham; Chanon Promsakon; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.thThe SharmaÐMittal holographic dark energy model is investigated in this paper using the ChernÐSimons modified gravity theory. We investigate several cosmic parameters, including the deceleration, equation of state, square of sound speed, and energy density. According to the deceleration parameter, the universe is in an decelerating and expanding phase known as de Sitter expansion. The SharmaÐMittal HDE model supports a deceleration to acceleration transition that is compatible with the observational data. The EoS depicts the universeÕs dominance era through a number of components, such as _ = 0,13, 1, which indicate that the universe is influenced by dust, radiation, and stiff fluid, while _1 < _ < 31, _ = _1, and _ < _1 are conditions for quintessence DE, _CDM, and Phantom era dominance. Our findings indicate that the universe is in an accelerated expansion phase, and this is similar to the observational data. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.