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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 |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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 | 415 | |||||
主題Scheme | NDC | |||||
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 |