DSpace Repository :: Browsing by Author "Nichaphat Patanarapeelert"

Browsing by Author "Nichaphat Patanarapeelert"

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A prabhakar fractional approach for the convection flow of casson fluid across an oscillating surface based on the generalized fourier law
(MDPI, 2021) Noman Sarwar; Muhammad Imran Asjad; Thanin Sitthiwirattham; Nichaphat Patanarapeelert; Taseer Muhammad; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
In the present work, an unsteady convection flow of Casson fluid, together with an oscillating vertical plate, is examined. The governing PDEs corresponding to velocity and temperature profile are transformed into linear ODEs with the help of the Laplace transform method. The ordinary derivative model generalized to fractional model is based on a generalized Fourier law. The solutions for energy and velocity equations are obtained after making the equations dimensionless. To check the insight of the physical parameters, especially the symmetric behavior of fractional parameters, it is found that for small and large values of time, fluid properties show dual behavior. Since the fractional derivative exhibits the memory of the function at the chosen value of time, therefore the present fractional model is more suitable in exhibiting memory than the classical model. Such results can be useful in the fitting of real data where needed. In the limiting case when fractional parameters are taken _ = _ = 0 and _ = 1 for both velocity and temperature, we get the solutions obtained with ordinary derivatives from the existing literature. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
A Study on Dynamics of CD4+ T-Cells under the Effect of HIV-1 Infection Based on a Mathematical Fractal-Fractional Model via the Adams-Bashforth Scheme and Newton Polynomials
(MDPI, 2022) Hashem Najafi; Sina Etemad; Nichaphat Patanarapeelert; Joshua Kiddy K. Asamoah; Shahram Rezapour; Thanin Sitthiwirattham; S. Rezapour; Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, 3751-71379, Iran; email: sh.rezapour@azaruniv.ac.ir; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
In recent decades, AIDS has been one of the main challenges facing the medical community around the world. Due to the large human deaths of this disease, researchers have tried to study the dynamic behaviors of the infectious factor of this disease in the form of mathematical models in addition to clinical trials. In this paper, we study a new mathematical model in which the dynamics of CD4+ T-cells under the effect of HIV-1 infection are investigated in the context of a generalized fractal-fractional structure for the first time. The kernel of these new fractal-fractional operators is of the generalized Mittag-Leffler type. From an analytical point of view, we first derive some results on the existence theory and then the uniqueness criterion. After that, the stability of the given fractal-fractional system is reviewed under four different cases. Next, from a numerical point of view, we obtain two numerical algorithms for approximating the solutions of the system via the Adams-Bashforth method and Newton polynomials method. We simulate our results via these two algorithms and compare both of them. The numerical results reveal some stability and a situation of lacking a visible order in the early days of the disease dynamics when one uses the Newton polynomial. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
Existence Results for Fractional Hahn Difference and Fractional Hahn Integral Boundary Value Problems
(Hindawi Limited, 2017) Nichaphat Patanarapeelert; Thanin Sitthiwirattham; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, Thailand; email: thanin_sit@dusit.ac.th
The existence and uniqueness results of two fractional Hahn difference boundary value problems are studied. The first problem is a Riemann-Liouville fractional Hahn difference boundary value problem for fractional Hahn integrodifference equations. The second is a fractional Hahn integral boundary value problem for Caputo fractional Hahn difference equations. The Banach fixed-point theorem and the Schauder fixed-point theorem are used as tools to prove the existence and uniqueness of solution of the problems. � 2017 Nichaphat Patanarapeelert and Thanin Sitthiwirattham.
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.
Existence results of a nonlocal fractional symmetric hahn integrodifference boundary value problem
(MDPI, 2021) Rujira Ouncharoen; Nichaphat Patanarapeelert; Thanin Sitthiwirattham; N. Patanarapeelert; Department of Mathematics, Faculty of Applied Science, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: nichaphat.p@sci.kmutnb.ac.th; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
The existence of solutions of nonlocal fractional symmetric Hahn integrodifference boundary value problem is studied. We propose a problem of five fractional symmetric Hahn difference operators and three fractional symmetric Hahn integrals of different orders. We first convert our nonlinear problem into a fixed point problem by considering a linear variant of the problem. When the fixed point operator is available, Banach and SchauderÕs fixed point theorems are used to prove the existence results of our problem. Some properties of (q, _)-integral are also presented in this paper as a tool for our calculations. Finally, an example is also constructed to illustrate the main results. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
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).
Hydrodynamics and Heat Transfer Analysis of Airflow in a Sinusoidally Curved Channel
(Tech Science Press, 2022) Abid A. Memon; M. Asif Memon; Kaleemullah Bhatti; Thanin Sitthiwirattham; Nichaphat Patanarapeelert; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
For heat transfer enhancement in heat exchangers, different types of channels are often tested. The performance of heat exchangers can be made better by considering geometry composed of sinusoidally curved walls. This research studies the modeling and simulation of airflow through a 2¹ units long sinusoidally curved wavy channel. For the purpose, two-dimensional Navier Stokes equations along with heat equations are under consideration. To simulate the fluid flow problem, the finite element-based software COMSOL Multiphysics 5.4 is used. The parametric study for Reynolds number from Re = 100 to Re = 1000 and the period of vibration P from 0 to 5 are observed. The surface plots, streamline patterns, contours, and graphs are presented for the velocity field magnitude, temperature, and pressure against the Reynolds number as well as period of vibration. The results are compared with various literature. It is found that due to the creation of periodic contraction regions the velocity magnitude of the flow is continuously increasing with the increase of Reynolds number, on the contrary the pressure is decreasing from inlet to outlet of the channel. Also, a periodic variation in the pressure distribution along the vibrating boundaries has been found with an average increase of 500% for the high Reynolds number. A novel work was done by expressing the rotation rate per second in terms of local Reynolds number for the recirculating regions found due to the periodic oscillation of the boundaries. The average temperature near the outlet where a fixed temperature is imposed initially is decreasing with an increase in Reynolds number. The convection process is weakened due to an increase of periodic vibration of boundaries. © 2022 Tech Science Press. All rights reserved.
Investigation of the stochastic modeling of covid-19 with environmental noise from the analytical and numerical point of view
(MDPI, 2021) Shah Hussain; Elissa Nadia Madi; Hasib Khan; Sina Etemad; Shahram Rezapour; Thanin Sitthiwirattham; Nichaphat Patanarapeelert; S. Rezapour; Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, 53751-71379, Iran; email: sh.rezapour@azaruniv.ac.ir; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th; N. Patanarapeelert; Department of Mathematics, Faculty of Applied Science, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: nichaphat.p@sci.kmutnb.ac.th
In this article, we propose a novel mathematical model for the spread of COVID-19 involving environmental white noise. The new stochastic model was studied for the existence and persistence of the disease, as well as the extinction of the disease. We noticed that the existence and extinction of the disease are dependent on R0 (the reproduction number). Then, a numerical scheme was developed for the computational analysis of the model; with the existing values of the parameters in the literature, we obtained the related simulations, which gave us more realistic numerical data for the future prediction. The mentioned stochastic model was analyzed for different values of s1, s2 and b1, b2, and both the stochastic and the deterministic models were compared for the future prediction of the spread of COVID-19. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Mild solutions for impulsive integro-differential equations involving hilfer fractional derivative with almost sectorial operators
(MDPI, 2021) Kulandhaivel Karthikeyan; Panjaiyan Karthikeyan; Nichaphat Patanarapeelert; Thanin Sitthiwirattham; N. Patanarapeelert; Department of Mathematics, Faculty of Applied Science, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: nichaphat.p@sci.kmutnb.ac.th; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
In this manuscript, we establish the mild solutions for Hilfer fractional derivative integrodifferential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this evolution equations and obtain the existence results. In addition, an application is also considered. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Nonlocal boundary value problems for second-order nonlinear Hahn integro-difference equations with integral boundary conditions
(Springer Verlag, 2017) Umaphon Sriphanomwan; Jessada Tariboon; Nichaphat Patanarapeelert; Sotiris K Ntouyas; Thanin Sitthiwirattham; J. Tariboon; Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut�s University of Technology North Bangkok, Bangkok, 10800, Thailand; email: jessada.t@sci.kmutnb.ac.th
In this paper, we study a boundary value problem for second-order nonlinear Hahn integro-difference equations with nonlocal integral boundary conditions. Our problem contains two Hahn difference operators and a Hahn integral. The existence and uniqueness of solutions is obtained by using the Banach fixed point theorem, and the existence of at least one solution is established by using the Leray-Schauder nonlinear alternative and Krasnoselskii�s fixed point theorem. Illustrative examples are also presented to show the applicability of our results. � 2017, The Author(s).
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.
Nonlocal q-symmetric integral boundary value problem for sequential q-symmetric integrodifference equations
(MDPI AG, 2018) Rujira Ouncharoen; 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 the sufficient conditions for the existence results of a solution of a nonlocal q-symmetric integral boundary value problem for a sequential q-symmetric integrodifference equation by using the Banach's contraction mapping principle and Krasnoselskii's fixed point theorem. Some examples are also presented to illustrate our results. � 2018 by the authors.
On four-point fractional q-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order
(Springer International Publishing, 2018) 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 study a sequential Caputo fractional q-integrodifference equation with fractional q-integral and Riemann�Liouville fractional q-derivative boundary value conditions. Our problem contains 2 (M+ N+ 1) different orders and six different numbers of q in derivatives and integrals. The problem contains separate nonlinear functions. To examine existence and uniqueness results of the problem, Banach�s contraction principle and the Leray�Schauder nonlinear alternative are employed. An illustrative example is also provided. � 2018, The Author(s).
On fractional symmetric Hahn Calculus
(MDPI AG, 2019) Nichaphat Patanarapeelert; 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 fractional symmetric Hahn difference calculus. The new idea of the symmetric Hahn difference operator, the fractional symmetric Hahn integral, and the fractional symmetric Hahn operators of Riemann-Liouville and Caputo types are presented. In addition, we formulate some fundamental properties based on these fractional symmetric Hahn operators. � 2019 by the authors. Licensee MDPI, Basel, Switzerland.
On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions
(American Institute of Mathematical Sciences, 2024) Nichaphat Patanarapeelert; Jiraporn Reunsumrit; Thanin Sitthiwirattham; T. Sitthiwirattham; Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King MongkutÕs University of Technology North Bangkok, Bangkok, 10800, Thailand; email: thanin_sit@dusit.ac.th
All authors Fractional Hahn differences and fractional Hahn integrals have various applications in fields where discrete fractional calculus plays a significant role, such as in discrete biological modeling and signal processing to handle systems with memory effects. In this study, the existence and uniqueness of solutions for a Riemann-Liouville fractional Hahn integrodifference equation with nonlocal fractional Hahn integral boundary conditions are investigated. To establish these results, we apply the Banach and Schauder fixed-point theorems. Furthermore, the Hyers-Ulam stability of solutions is studied. © 2024 the Author(s).
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).
On nonlocal fractional symmetric hanh integral boundary value problems for fractional symmetric hahn integrodifference equation
(American Institute of Mathematical Sciences, 2020) Nichaphat Patanarapeelert; Thanin Sitthiwiratthame; T. Sitthiwiratthame; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
In this paper, we propose a boundary value problems for fractional symmetric Hahn integrodifference equation. The problem contains two fractional symmetric Hahn difference operators and three fractional symmetric Hahn integral with different numbers of order. The existence and uniqueness result of problem is studied by using the Banach fixed point theorem. The existence of at least one solution is also studied, by using SchauderÕs fixed point theorem. © 2020 the Author(s), licensee AIMS Press.
On nonlocal Robin boundary value problems for Riemann�Liouville fractional Hahn integrodifference equation
(Springer International Publishing, 2018) 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 study a nonlocal Robin boundary value problem for fractional Hahn integrodifference equation. Our problem contains three fractional Hahn difference operators and a fractional Hahn integral with different numbers of q, _ and order. The existence and uniqueness result is proved by using the Banach fixed point theorem. In addition, the existence of at least one solution is obtained by using Schauder�s fixed point theorem. � 2018, The Author(s).
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.
On Some New OstrowskiÐMercer-Type Inequalities for Differentiable Functions
(MDPI, 2022) Ifra Bashir Sial; Nichaphat Patanarapeelert; Muhammad Aamir Ali; HŸseyin Budak; 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.th
In this paper, we establish a new integral identity involving differentiable functions, and then we use the newly established identity to prove some OstrowskiÐMercer-type inequalities for differentiable convex functions. It is also demonstrated that the newly established inequalities are generalizations of some of the Ostrowski inequalities established inside the literature. There are also some applications to the special means of real numbers given. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.

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