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

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

Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1063/1.4952518
Publisher:	AIP Publishing
Keywords:	Theorems; Properties; Multi-dimensional fractional Laplace transforms
Depositing User:	Nabilah Mustapa
Date Deposited:	08 Sep 2017 05:30
Last Modified:	08 Sep 2017 05:30
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
Statistic Details:	View Download Statistic

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