Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative
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 fracti...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57520/ http://psasir.upm.edu.my/id/eprint/57520/1/Some%20applications%20of%20the%20multi-dimensional%20fractional%20order%20for%20the%20Riemann-Liouville%20derivative.pdf |
| _version_ | 1848853390063304704 |
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| author | Ahmood, Wasan Ajeel Kilicman, Adem |
| author_facet | Ahmood, Wasan Ajeel Kilicman, Adem |
| author_sort | Ahmood, Wasan Ajeel |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T10:53:12Z |
| format | Conference or Workshop Item |
| id | upm-57520 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:12Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-575202017-10-24T03:13:25Z http://psasir.upm.edu.my/id/eprint/57520/ Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative Ahmood, Wasan Ajeel Kilicman, Adem 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. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57520/1/Some%20applications%20of%20the%20multi-dimensional%20fractional%20order%20for%20the%20Riemann-Liouville%20derivative.pdf 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). 10.1063/1.4972151 |
| spellingShingle | Ahmood, Wasan Ajeel Kilicman, Adem Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative |
| title | Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative |
| title_full | Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative |
| title_fullStr | Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative |
| title_full_unstemmed | Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative |
| title_short | Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative |
| title_sort | some applications of the multi-dimensional fractional order for the riemann-liouville derivative |
| url | http://psasir.upm.edu.my/id/eprint/57520/ http://psasir.upm.edu.my/id/eprint/57520/ http://psasir.upm.edu.my/id/eprint/57520/1/Some%20applications%20of%20the%20multi-dimensional%20fractional%20order%20for%20the%20Riemann-Liouville%20derivative.pdf |