Scientific Research Publishing

Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method ()

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 ...
Scientific Research Publishing

Solution of Differential Equations with the Aid of an Analytic Continuation of Laplace Transform ()

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 ...
IEEE

Solution of Systems of Linear Delay Differential Equations via Laplace Transformation

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 ...
JSTOR Daily

Multiplicative Laplace transform in q— calculus

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 ...
IEEE

Solution of piecewise- linear ordinary differential equations using waveform relaxation and Laplace transforms

Abstract: Piecewise-linear (PWL) functions are frequently used to describe the nonlinear branch equations of nonlinear devices in LSI circuits. New techniques for the solution of the differential ...
Frontiers

Khalouta transform and applications to Caputo-fractional differential equations

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 ...