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On Fractional Whittaker Equation and Operational Calculus
http://hdl.handle.net/2261/59039
http://hdl.handle.net/2261/590394550fbca-0ffd-408b-9aa8-5b97864038e1
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms200105.pdf (141.4 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2015-12-15 | |||||
| タイトル | ||||||
| タイトル | On Fractional Whittaker Equation and Operational Calculus | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Rodrigues, M. M.
× Rodrigues, M. M.× Vieira, N. |
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| 著者所属 | ||||||
| 著者所属 | CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | This paper is intended to investigate a fractional differential Whittaker’s equation of order 2α, with α ∈]0, 1], involving the Riemann-Liouville derivative. We seek a possible solution in terms of power series by using operational approach for the Laplace and Mellin transform. A recurrence relation for coefficients is obtained. The existence and uniqueness of solutions is discussed via Banach fixed point theorem. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 20, 号 1, p. 127-146, 発行日 2013-07-11 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 35R11(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 34B30(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 42A38(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2012-07-19 | ||||||
