Fractional double Laplace transform and its properties

In this article, we introduce definition of a fractional double Laplace transform of order α, 0 < α ≤ 1, for fractional differentiable functions. Some main properties and inversion theorem of fractional double Laplace transform are established. Further, the connection between fractional double La...

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Bibliographic Details
Main Authors: Kilicman, Adem, Meftah, Maryam Omran
Format: Article
Language:English
Published: AIP Publishing 2017
Online Access:http://psasir.upm.edu.my/id/eprint/63114/1/Fractional%20double%20Laplace%20transform%20and%20its%20properties%20.pdf
http://psasir.upm.edu.my/id/eprint/63114/
https://aip.scitation.org/doi/10.1063/1.4972165
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Summary:In this article, we introduce definition of a fractional double Laplace transform of order α, 0 < α ≤ 1, for fractional differentiable functions. Some main properties and inversion theorem of fractional double Laplace transform are established. Further, the connection between fractional double Laplace and fractional double Sumudu transforms are presented