A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations
Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions. The obtained q-version of Mittag-Leffler function is thought as t...
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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/10.1155/2012/546062 |
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| author | Thabet Abdeljawad Betül Benli Dumitru Baleanu |
| author_facet | Thabet Abdeljawad Betül Benli Dumitru Baleanu |
| author_sort | Thabet Abdeljawad |
| collection | DOAJ |
| description | Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions. The obtained q-version of Mittag-Leffler function is thought as the q-analogue of the one introduced previously by Kilbas and Saigo (1995). |
| format | Article |
| id | doaj-art-727c2e9efe4748588e765e8026b9748b |
| 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-727c2e9efe4748588e765e8026b9748b2025-02-03T06:12:12ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/546062546062A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear EquationsThabet Abdeljawad0Betül Benli1Dumitru Baleanu2Department of Mathematics and Computer Science, Çankaya University, 06530 Ankara, TurkeyDepartment of Mathematics and Computer Science, Çankaya University, 06530 Ankara, TurkeyDepartment of Mathematics and Computer Science, Çankaya University, 06530 Ankara, TurkeySome Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions. The obtained q-version of Mittag-Leffler function is thought as the q-analogue of the one introduced previously by Kilbas and Saigo (1995).http://dx.doi.org/10.1155/2012/546062 |
| spellingShingle | Thabet Abdeljawad Betül Benli Dumitru Baleanu A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations Abstract and Applied Analysis |
| title | A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations |
| title_full | A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations |
| title_fullStr | A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations |
| title_full_unstemmed | A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations |
| title_short | A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations |
| title_sort | generalized q mittag leffler function by q captuo fractional linear equations |
| url | http://dx.doi.org/10.1155/2012/546062 |
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