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 transform 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 fractional Laplace and fractional generalized Hankel-Clifford transformation is proved in Zemanian space.
Citation
V. R. Lakshmi Gorty. "A perspective on fractional Laplace transforms and fractional generalized Hankel-Clifford transformation." Tbilisi Math. J. 8 (2) 23 - 33, December 2015. https://doi.org/10.1515/tmj-2015-0004
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