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


Citation

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).

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4972151
Publisher: AIP Publishing
Keywords: One-dimensional fractional; Multi-dimensional fractional; Riemann-Liouville derivative
Depositing User: Nabilah Mustapa
Date Deposited: 24 Oct 2017 03:13
Last Modified: 24 Oct 2017 03:13
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4972151
URI: http://psasir.upm.edu.my/id/eprint/57520
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