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Some theorems and properties of multi-dimensional fractional Laplace transforms

Ahmood, Wasan Ajeel and Kilicman, Adem (2016) Some theorems and properties of multi-dimensional fractional Laplace transforms. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. pp. 1-10.

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Official URL: http://aip.scitation.org/doi/abs/10.1063/1.4952518

Abstract

The aim of this work is to study theorems and properties for the one-dimensional fractional Laplace transform, generalize some properties for the one-dimensional fractional Lapalce transform to be valid for the multi-dimensional fractional Lapalce transform and is to give the definition of the multi-dimensional fractional Lapalce transform. This study includes: dedicate the one-dimensional fractional Laplace transform for functions of only one independent variable with some of important theorems and properties and develop of some properties for the one-dimensional fractional Laplace transform to multi-dimensional fractional Laplace transform. Also, we obtain a fractional Laplace inversion theorem after a short survey on fractional analysis based on the modified Riemann-Liouville derivative.

Item Type:Conference or Workshop Item (Paper)
Keyword:Theorems; Properties; Multi-dimensional fractional Laplace transforms
Faculty or Institute:Faculty of Science
Publisher:AIP Publishing
DOI Number:10.1063/1.4952518
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952518
ID Code:57169
Deposited By: Nabilah Mustapa
Deposited On:08 Sep 2017 13:30
Last Modified:08 Sep 2017 13:30

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