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Some theorems and properties of multi-dimensional fractional Laplace transforms


Citation

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).

Abstract / Synopsis

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.


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Additional Metadata

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