Some theorems and properties of multi-dimensional fractional Laplace transforms
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...
| 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/57169/ http://psasir.upm.edu.my/id/eprint/57169/1/Some%20theorems%20and%20properties%20of%20multi-dimensional%20fractional%20Laplace%20transforms.pdf |
| _version_ | 1848853290053271552 |
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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 | 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. |
| first_indexed | 2025-11-15T10:51:37Z |
| format | Conference or Workshop Item |
| id | upm-57169 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:37Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571692017-09-08T05:30:42Z http://psasir.upm.edu.my/id/eprint/57169/ Some theorems and properties of multi-dimensional fractional Laplace transforms Ahmood, Wasan Ajeel Kilicman, Adem 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. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57169/1/Some%20theorems%20and%20properties%20of%20multi-dimensional%20fractional%20Laplace%20transforms.pdf 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). http://aip.scitation.org/doi/abs/10.1063/1.4952518 10.1063/1.4952518 |
| spellingShingle | Ahmood, Wasan Ajeel Kilicman, Adem Some theorems and properties of multi-dimensional fractional Laplace transforms |
| title | Some theorems and properties of multi-dimensional fractional Laplace transforms |
| title_full | Some theorems and properties of multi-dimensional fractional Laplace transforms |
| title_fullStr | Some theorems and properties of multi-dimensional fractional Laplace transforms |
| title_full_unstemmed | Some theorems and properties of multi-dimensional fractional Laplace transforms |
| title_short | Some theorems and properties of multi-dimensional fractional Laplace transforms |
| title_sort | some theorems and properties of multi-dimensional fractional laplace transforms |
| url | http://psasir.upm.edu.my/id/eprint/57169/ http://psasir.upm.edu.my/id/eprint/57169/ http://psasir.upm.edu.my/id/eprint/57169/ http://psasir.upm.edu.my/id/eprint/57169/1/Some%20theorems%20and%20properties%20of%20multi-dimensional%20fractional%20Laplace%20transforms.pdf |