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abstract: 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 nonlinear fractional differential or fractional partial differential equation. Numerous examples and exercises occur throughout the paper.

Solution to linear KdV and nonLinear space fractional PDEs