New trends in Laplace type integral transforms with applications

  • Arman Aghili University of Guilan
Keywords: Keywords, Laplace transform, Generalized Stieltjes transform, Kelvin’s function, Airy differential equation, Korteweg – de Vries equation.

Abstract

Abstract

In this paper, the authors provided a discussion on one and two dimensional Laplace transforms and generalized Stieltjes transform and their applications in evaluating special series and integrals. Finally, we implemented the joint Laplace – Fourier transforms to construct exact solution for a variant of the Kd.V equation. Illustrative examples are also provided.

Downloads

Download data is not yet available.

Author Biography

Arman Aghili, University of Guilan

Applied Mathematics

Associate Professor

Published
2015-10-26
Section
Articles