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Joint Laplace-Fourier Transforms For Fractional PDEs

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.2, No. 3)

Publication Date:

Authors : ; ;

Page : 166-177

Keywords : Laplace transform Bessel’s functions Parabolic cylindrical function Wave equation Caputo fractional derivative.;

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Abstract

Abstract In this paper, the authors implemented one dimensional Laplace and Fourier transforms to evaluate certain integrals, series and solve non homogeneous fractional PDEs. Illustrative examples are also provided. The results reveal that the integral transforms are very effective and convenient.

Last modified: 2014-12-05 17:11:53