New trends in Laplace type integral transforms with applications

Author:

Aghili Arman

Abstract

AbstractIn 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.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference22 articles.

1. 1. A. Aghili, H. Zeinali, Advances in Laplace type integral transforms with applications, Indian Journal of Science and Technology, Vol. 7(6), 877-890, June 2014..

2. 2. A. Aghili, H. Zeinali, Solution to time fractional wave equation in the presence of friction via integral transform, Communications on applied nonlinear analysis, Vol.21(3), 67-88, June 2014.

3. 3. A. Aghili, H. Zeinali, Solution to Fractional Schrodinger and Airy Differential Equations via Integral Transforms, British journal of mathematics and computer science, Vol. 4(18), 2630-2664, July 2014.

4. 4. A. Aghili, H. Zeinali, Two dimensional Laplace transform for non- homogenous forth order partial differential equations, Journal of Mathematical Research and Applications (JMRA), Vol.1, 48-54, December 2013.

5. 5. A. Aghili, H. Zeinali, Integral transform method for solving Volterra singular integral equations and non homogenous time Fractional PDEs, Gen.Math.Notes, Vol.14(1), 6-20, January 2013.

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