New trends in Laplace type integral transforms with applications

Authors

  • Arman Aghili University of Guilan

DOI:

https://doi.org/10.5269/bspm.v35i1.28645

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.

Author Biography

  • Arman Aghili, University of Guilan

    Applied Mathematics

    Associate Professor

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Published

2015-10-26

Issue

Section

Research Articles