Joint Laplace-Fourier Transforms For Fractional PDEs

Abstract

In this paper, the authors implemented one dimensional Laplace transform 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

Keywords

• Laplace transform,Bessel’s functions; Parabolic cylindrical function; Wave equation; Caputo fractional derivative

1. Introduction and Notations

Abstract

References

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