A perspective on fractional Laplace transforms and fractional generalized Hankel-Clifford transformation

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Abstract

In this study a relation between the Laplace transform and the generalized Hankel-Clifford transform is established. The relation between distributional generalized Hankel-Clifford trans- form and distributional one sided Laplace transform is developed. The results are verified by giving illustrations. The relation between fractional Laplace and fractional generalized Hankel-Clifford transformation is also established. Further inversion theorem considering frac- tional Laplace and fractional generalized Hankel-Clifford transformation is proved in Zemanian space.

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