Solution to linear KdV and nonLinear space fractional PDEs

In this work, the author will briefly discuss applications of the Fourier and Laplace transforms in the solution of certain singular integral equations and evaluation of integrals. By combining integral transforms and operational methods we get more powerful analytical tool for solving a wide class...

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Bibliographic Details
Main Author: Arman Aghili
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2020-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/40360
Description
Summary:In this work, the author will briefly discuss applications of the Fourier and Laplace transforms in the solution of certain singular integral equations and evaluation of integrals. By combining integral transforms and operational methods we get more powerful analytical tool for solving a wide class of linear or even non- linear fractional differential or fractional partial differential equation. Numerous examples and exercises occur throughout the paper.  
ISSN:0037-8712
2175-1188