On Sumudu Transform Method in Discrete Fractional Calculus
In this paper, starting from the definition of the Sumudu transform on a general time scale, we define the generalized discrete Sumudu transform and present some of its basic properties. We obtain the discrete Sumudu transform of Taylor monomials, fractional sums, and fractional differences. We appl...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/270106 |
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| _version_ | 1832563825708105728 |
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| author | Fahd Jarad Kenan Taş |
| author_facet | Fahd Jarad Kenan Taş |
| author_sort | Fahd Jarad |
| collection | DOAJ |
| description | In this paper, starting from the definition of the Sumudu transform on a general time scale, we define the generalized discrete Sumudu transform and present some of its basic properties. We obtain the discrete Sumudu transform of Taylor monomials, fractional sums, and fractional differences. We apply this transform to solve some fractional difference initial value problems. |
| format | Article |
| id | doaj-art-1708f5f07b7f456ab0a42c8ff0fd772d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1708f5f07b7f456ab0a42c8ff0fd772d2025-02-03T01:12:25ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/270106270106On Sumudu Transform Method in Discrete Fractional CalculusFahd Jarad0Kenan Taş1Department of Mathematics and Computer Science, Cankaya University, Eskisehir Yolu 29 km, 06810 Ankara, TurkeyDepartment of Mathematics and Computer Science, Cankaya University, Eskisehir Yolu 29 km, 06810 Ankara, TurkeyIn this paper, starting from the definition of the Sumudu transform on a general time scale, we define the generalized discrete Sumudu transform and present some of its basic properties. We obtain the discrete Sumudu transform of Taylor monomials, fractional sums, and fractional differences. We apply this transform to solve some fractional difference initial value problems.http://dx.doi.org/10.1155/2012/270106 |
| spellingShingle | Fahd Jarad Kenan Taş On Sumudu Transform Method in Discrete Fractional Calculus Abstract and Applied Analysis |
| title | On Sumudu Transform Method in Discrete Fractional Calculus |
| title_full | On Sumudu Transform Method in Discrete Fractional Calculus |
| title_fullStr | On Sumudu Transform Method in Discrete Fractional Calculus |
| title_full_unstemmed | On Sumudu Transform Method in Discrete Fractional Calculus |
| title_short | On Sumudu Transform Method in Discrete Fractional Calculus |
| title_sort | on sumudu transform method in discrete fractional calculus |
| url | http://dx.doi.org/10.1155/2012/270106 |
| work_keys_str_mv | AT fahdjarad onsumudutransformmethodindiscretefractionalcalculus AT kenantas onsumudutransformmethodindiscretefractionalcalculus |