Related Articles ( Laplace transform )
Applications of Homotopy Perturbation Transform Method for Solving Newell-Whitehead-Segel Equation
In the present work, we apply an analytical method known as Homotopy Perturbation Transform Method, is used for solving Newell-Whitehead-Segel Equation. Five tests are examined to validate the accuracy of this algorithm. Numerical results show that the proposed method is a more reliable, efficient and ...
Controllability of Fractional-order Dynamical System with Time Varying-Delays
In this study, controllability of a class of fractional-order dynamical system with time-varying delays is considered. First, a representation of the solution is given using Laplace transform and Mittageleffler function. Then necessary and sufficient conditions for the controllability of the fractional ...
On Katugampola Laplace transform
The aim of this article is to introduce a new form for the Laplace transform. This new definition will be considered as one of the generalizations of the usual (classical) Laplace transform. We employ the new ”Katugampola derivative”, which obeys classical properties and define Katugampola ...