A note on fractional Sumudu transform
We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relations...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12764/1/A%20note%20on%20fractional%20Sumudu%20transform.pdf |
| _version_ | 1796968294202212352 |
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| author | Gupta, Vineeta G. Shrama, Bhavna Kilicman, Adem |
| author_facet | Gupta, Vineeta G. Shrama, Bhavna Kilicman, Adem |
| author_sort | Gupta, Vineeta G. |
| collection | UPM |
| description | We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations. |
| first_indexed | 2024-03-06T07:26:21Z |
| format | Article |
| id | upm.eprints-12764 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T07:26:21Z |
| publishDate | 2010 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-127642015-11-27T08:26:48Z http://psasir.upm.edu.my/id/eprint/12764/ A note on fractional Sumudu transform Gupta, Vineeta G. Shrama, Bhavna Kilicman, Adem We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations. Hindawi Publishing Corporation 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12764/1/A%20note%20on%20fractional%20Sumudu%20transform.pdf Gupta, Vineeta G. and Shrama, Bhavna and Kilicman, Adem (2010) A note on fractional Sumudu transform. Journal of Applied Mathematics, 2010. art. no. 154189. pp. 1-9. ISSN 1110-757X; ESSN:1687-0042 http://www.hindawi.com/journals/jam/2010/154189/ 10.1155/2010/154189 |
| spellingShingle | Gupta, Vineeta G. Shrama, Bhavna Kilicman, Adem A note on fractional Sumudu transform |
| title | A note on fractional Sumudu transform |
| title_full | A note on fractional Sumudu transform |
| title_fullStr | A note on fractional Sumudu transform |
| title_full_unstemmed | A note on fractional Sumudu transform |
| title_short | A note on fractional Sumudu transform |
| title_sort | note on fractional sumudu transform |
| url | http://psasir.upm.edu.my/id/eprint/12764/1/A%20note%20on%20fractional%20Sumudu%20transform.pdf |
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