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: Omran, Maryam, Kilicman, Adem
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57637/1/Fractional%20double%20Laplace%20transform%20and%20its%20properties.pdf
Description
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.