Search Results - "Sawangtong, Wannika"
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An analytical solution for the Caputo type generalized fractional evolution equation
Published in Alexandria engineering journal (01-07-2022)“…The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for…”
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2
Model Predictive Control of COVID-19 Pandemic with Social Isolation and Vaccination Policies in Thailand
Published in Axioms (01-12-2021)“…This study concerns the COVID-19 pandemic in Thailand related to social isolation and vaccination policies. The behavior of disease spread is described by an…”
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3
Study of Non-Newtonian blood flow - heat transfer characteristics in the human coronary system with an external magnetic field
Published in Mathematical biosciences and engineering : MBE (01-01-2022)“…This paper proposes a novel mathematical model of non-Newtonian blood flow and heat transfer in the human coronary system with an external magnetic field. As…”
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4
Green’s function homotopy perturbation method for the initial-boundary value problems
Published in Advances in difference equations (02-10-2019)“…This article deals with the novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function…”
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5
Application of the Generalized Laplace Homotopy Perturbation Method to the Time-Fractional Black–Scholes Equations Based on the Katugampola Fractional Derivative in Caputo Type
Published in Computation (01-03-2021)“…In the finance market, the Black–Scholes equation is used to model the price change of the underlying fractal transmission system. Moreover, the fractional…”
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6
An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method
Published in Advances in difference equations (27-06-2019)“…This article deals with the fractional multi-dimensional Burgers equation in the sense of the Caputo fractional derivative. An approximate analytical solution…”
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7
An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach
Published in Fractal and fractional (01-11-2022)“…An option is the right to buy or sell a good at a predetermined price in the future. For customers or financial companies, knowing an option’s pricing is…”
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8
Numerical simulation of granular mixing in static mixers with different geometries
Published in Advances in difference equations (19-06-2019)“…A static mixer is a fidelity engineered device for the continuous mixing of fluid/solid materials. To meet the requirements for mixing purpose, a proper design…”
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Optimal control of Zika virus infection by vector elimination, vector-to-human and human-to-human contact reduction
Published in Advances in difference equations (23-06-2017)“…The recent outbreak of mosquito-borne Zika virus (ZIKV) in Brazil, with estimated cases surpassing 1.5 million, has gained attention due to its rapid spread…”
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The Analytical Solution for the Black-Scholes Equation with Two Assets in the Liouville-Caputo Fractional Derivative Sense
Published in Mathematics (Basel) (01-08-2018)“…It is well known that the Black-Scholes model is used to establish the behavior of the option pricing in the financial market. In this paper, we propose the…”
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11
Pressure-Driven Thermal Slip Flow in the Elliptical Channel with Radial Oscillatory Wall
Published in Journal of applied mathematics (2020)“…This paper is aimed at presenting thermal slip flow driven by oscillatory pressure gradient in a deformable microchannel of elliptic cross-section. The fully…”
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12
Blow-up for a degenerate and singular parabolic equation with a nonlocal source
Published in Advances in difference equations (04-07-2019)“…This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the…”
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13
A single quenching point for a fractional heat equation based on the Riemann-Liouville fractional derivative with a nonlinear concentrate source
Published in Boundary value problems (29-06-2017)“…This paper aims to study the quenching problem in a fractional heat equation with the Riemann-Liouville fractional derivative. The existence and uniqueness of…”
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14
Oscillating pressure-driven slip flow and heat transfer through an elliptical microchannel
Published in Advances in difference equations (14-08-2019)“…This paper studies the transient slip flow and heat transfer of a fluid driven by the oscillatory pressure gradient in a microchannel of elliptic cross…”
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15
Sub-Optimal Control in the Zika Virus Epidemic Model Using Differential Evolution
Published in Axioms (01-09-2018)“…A dynamical model of Zika virus (ZIKV) epidemic with direct transmission, sexual transmission, and vertical transmission is developed. A sub-optimal control…”
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16
An Approximate Analytic Solution for the Multidimensional Fractional-Order Time and Space Burger Equation Based on Caputo-Katugampola Derivative
Published in International journal of theoretical physics (19-12-2023)“…The Burger equation has been widely used to study nonlinear acoustic plane waves in gas-filled tubes, waves in shallow water, and shock waves in gas. Recently,…”
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17
Laplace Transform Homotopy Perturbation Method for the Two Dimensional Black Scholes Model with European Call Option
Published in Mathematical and computational applications (01-03-2017)Get full text
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18
An Analysis on the Fractional Asset Flow Differential Equations
Published in Mathematics (Basel) (01-06-2017)“…The asset flow differential equation (AFDE) is the mathematical model that plays an essential role for planning to predict the financial behavior in the…”
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