In this paper, the Combined Laplace Transform-Adomian Decomposition Method is used to solve nth-order integro-differential equations. The results show that the method is very simple and effective. In ...

College of Engineering, Nihon University, Koriyama, Japan. Tohoku University, Sendai, Japan. . We use for, to denote the least integer that is not less than x. In the present paper, the variable t is ...

Abstract: An approach using the Lambert W function for the analytical solution, free and forced, to systems of delay differential equations with a single delay has been developed by Asl And Ulsoy ...

In this study, we introduce q*— (or q—multiplicative) Laplace transform by means of q*—integral. Some properties of q*—Laplace transform are presented. Also, q*—Laplace transform can be utilized for ...

Abstract: Following earlier work by Sheen, Sloan, and Thomée concerning parabolic equations we study the discretization in time of a Volterra type integro‐differential equation in which the integral ...

Transient mass-transfer phenomena occurring in natural and engineered systems consist of convection, diffusion, and reaction processes. The coupled phenomena can be described by using the unsteady ...

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both ...