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Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative

Ahmood, Wasan Ajeel and Kilicman, Adem (2016) Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. pp. 1-7.

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Abstract

In this paper, the aim of this work is to study theorem for the one-dimensional space-time fractional deriative, generalize some function for the one-dimensional fractional by table represents the fractional Laplace transforms of some elementary functions to be valid for the multi-dimensional fractional Laplace transform and give the definition of the multi-dimensional fractional Laplace transform. This study includes that, dedicate the one-dimensional fractional Laplace transform for functions of only one independent variable and develop of the one-dimensional fractional Laplace transform to multi-dimensional fractional Laplace transform based on the modified Riemann-Liouville derivative.

Item Type:Conference or Workshop Item (Paper)
Keyword:One-dimensional fractional; Multi-dimensional fractional; Riemann-Liouville derivative
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:AIP Publishing
DOI Number:10.1063/1.4972151
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4972151
ID Code:57520
Deposited By: Nabilah Mustapa
Deposited On:24 Oct 2017 11:13
Last Modified:24 Oct 2017 11:13

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