Indian Journal of Science and Technology

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In this study, the authors implemented one and two dimensional Laplace transform, Stieltjes and Post-Widder transforms to evaluate certain integrals and series. In the last section, certain fractional wave equation is solved via joint Laplace-Fourier sine transform. Illustrative examples are also provided. The result reveals that the integral transform method performs extremely well in terms of simplicity and efficiency. Mathematics Subject Classification 2010: 26A33; 34A08; 34K37; 35R11.

Keywords

Bessel’s Functions, Mathieu Series, Post-widder Transform, Two Dimensional Laplace Transform, Stieltjes Transform
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