Chutarat Tearnbucha

Navamindradhiraj University · department of general education

In this work, radial basis function collocation method (RBFCM) is implemented for generalized time fractional Gardner equation (GTFGE). The RBFCM is meshless and easy-to-implement in complex geometries and higher dimensions, therefore, it is highly demanding. In this work, the Caputo derivative of fractional order ξ ∈ (0, 1] is used to approximate...

In this article, approximate solutions of some PDE of fractional order are investi­gated with the help of a new semi-analytical method called the optimal auxiliary function method. The proposed method was tested upon the time-fractional Fisher equation, the time-fractional Fornberg-Whitham equation, and the time-fractional Inviscid Burger equation....

This work solves the problem of thin-film withdrawal and drainage of a steady incompressible couple stress fluid on the outer surface of a vertical cylinder. The governing equations for velocity and temperature distributions are subjected to the boundary conditions and solved with the help of homotopy analysis method. The obtained expressions for f...

Among the renewable energies, there is geothermal energy, conventional air conditioning has negative consequences on the environment, to have an economical and sustainable solution: the EAHE respond to this concern. In the current study, the study of the thermal performance of the earth-air heat exchanger (EAHE) has been completed. For the impact o...

Building aeration ventilation may contribute to achieve thermal comfort there by economizing huge amount of electricity that would be supplied using conventional air conditioning systems. Natural ventilation maintains thermal equilibrium between heating and cooling balances. They may also be used in conjunction with other systems in certain circums...

A design of an optimal backstepping fractional order proportional integral derivative (FOPID) controller for handling the trajectory tracking problem of wheeled mobile robots (WMR) is examined in this study. Tuning parameters is a challenging task, to overcome this issue a hybrid meta-heuristic optimization algorithm has been utilized. This evoluti...

A mathematical model for the dynamic systems of $\mathbb{SMA}$ SMA involving the $\mathbb{ABC}$ ABC -fractional derivative is considered in this manuscript. We examine the basic reproduction number and analyze the stability of the equilibrium points. We prove the theoretical results of the existence and Ulam’s stability of the solutions for the pro...

In this paper, we discuss existence and stability results for a new class of impulsive fractional boundary value problems with non-separated boundary conditions containing the Caputo proportional fractional derivative of a function with respect to another function. The uniqueness result is discussed via Banach's contraction mapping principle, and t...

In this paper, sufficient conditions are established for the oscillation of all solutions of generalized proportional fractional differential equations of the form        a D α,ρ x(t) + ξ 1 (t, x(t)) = µ(t) + ξ 2 (t, x(t)), t > a ≥ 0, lim t→a + a I j−α,ρ x(t) = b j , j = 1, 2,. .. , n, where n = α, a D α,ρ is the generalized proportional fra...