Some remarks on the fractional Sumudu transform and applications
In this work we study fractional order Sumudu transform. In the development of the definition we use fractional analysis based on the modified Riemann - Liouville derivative, then we name the fractional Sumudu transform. We also establish a relationship between fractional Laplace and Sumudu via dual...
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| Format: | Article |
| Language: | English |
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Natural Sciences Publishing
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/35420/1/Some%20remarks%20on%20the%20fractional%20Sumudu%20transform%20and%20applications.pdf |
| _version_ | 1796972705068613632 |
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| author | Kilicman, Adem Altun, Omer |
| author_facet | Kilicman, Adem Altun, Omer |
| author_sort | Kilicman, Adem |
| collection | UPM |
| description | In this work we study fractional order Sumudu transform. In the development of the definition we use fractional analysis based on the modified Riemann - Liouville derivative, then we name the fractional Sumudu transform. We also establish a relationship between fractional Laplace and Sumudu via duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations. |
| first_indexed | 2024-03-06T08:32:16Z |
| format | Article |
| id | upm.eprints-35420 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:32:16Z |
| publishDate | 2014 |
| publisher | Natural Sciences Publishing |
| record_format | dspace |
| spelling | upm.eprints-354202017-10-26T10:03:21Z http://psasir.upm.edu.my/id/eprint/35420/ Some remarks on the fractional Sumudu transform and applications Kilicman, Adem Altun, Omer In this work we study fractional order Sumudu transform. In the development of the definition we use fractional analysis based on the modified Riemann - Liouville derivative, then we name the fractional Sumudu transform. We also establish a relationship between fractional Laplace and Sumudu via duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations. Natural Sciences Publishing 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/35420/1/Some%20remarks%20on%20the%20fractional%20Sumudu%20transform%20and%20applications.pdf Kilicman, Adem and Altun, Omer (2014) Some remarks on the fractional Sumudu transform and applications. Applied Mathematics & Information Sciences, 8 (6). pp. 2881-2888. ISSN 1935-0090; ESSN: 2325-0399 http://www.naturalspublishing.com/Article.asp?ArtcID=6834 |
| spellingShingle | Kilicman, Adem Altun, Omer Some remarks on the fractional Sumudu transform and applications |
| title | Some remarks on the fractional Sumudu transform and applications |
| title_full | Some remarks on the fractional Sumudu transform and applications |
| title_fullStr | Some remarks on the fractional Sumudu transform and applications |
| title_full_unstemmed | Some remarks on the fractional Sumudu transform and applications |
| title_short | Some remarks on the fractional Sumudu transform and applications |
| title_sort | some remarks on the fractional sumudu transform and applications |
| url | http://psasir.upm.edu.my/id/eprint/35420/1/Some%20remarks%20on%20the%20fractional%20Sumudu%20transform%20and%20applications.pdf |
| work_keys_str_mv | AT kilicmanadem someremarksonthefractionalsumudutransformandapplications AT altunomer someremarksonthefractionalsumudutransformandapplications |