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
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 |
| Statistic Details: | View Download Statistic |
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