查詢結果分析
來源資料
相關文獻
- Generalized Weber Equations via Fractional Calculus
- On the Fractional Calculus(e礼戸(z-a)[fef5])β)α)and (((z-a)[fef5])β.e )α
- Particular Solutions of Riemann's Differential Equations by N-fractional Calculus Operator N广
- Particular Solutions for Linear Third Order Differential Equations by N-Fractional Calculus Operator N
- Certain Subclasses of Univalent Functions and an Application of the Fractional Calculus
- A Certain Family of Infinite Sums via Fractional Calculus
- A Linear Third Order (Nonhomogeneous and Homogeneos), Partial and Higher Order Differential Equatons of Fuchs Type Via Fractional Calculus Method
- Solutions of a Class of Third Order Ordinary and Partial Differential Equations Via Fractional Calculus Ⅱ
- Solutions of a Class of Third Order Ordinary and Partial Differential Equations Via Fractional Calculus
- A Generalized Chebyshev Type Partial Differential Equation Via Fractional Calculus Method
第1筆 /總和 1 筆
/ 1 筆
頁籤選單縮合
題 名 | Generalized Weber Equations via Fractional Calculus=利用分數微積分推廣Weber Equation |
---|---|
作 者 | 杜詩統; 黃郁丹; 陳怡君; | 書刊名 | 中原學報 |
卷 期 | 28:1 2000.03[民89.03] |
頁 次 | 頁1-5 |
分類號 | 314.1 |
關鍵詞 | 分數微積分; 一般性Leibniz法則; 一般型Weber方程式; Fractional calculus; Generalized Leibniz's rule; Generalized Weber's equation; |
語 文 | 英文(English) |
中文摘要 | 根據西本勝之教授分數微積分[1],可獲得眾知的特殊二階微分方程式(如: Gauss,Legendre,Jacobi,Tchebycheff 及 Coulomb )的特解。 在參考文獻 [2]-[7] 中,一些學者再推廣上述各結果為一般型並研論其特解。 最近, 在 1999 年, 於 [8], 杜詩統教授等人又處理一般性的 Associated Legendre, Euler,及 Hermite 的 N 階微分方程式的特解。在 1998 年,西本勝之教授,於 [10],採 用 N 方法,獲得在量子力學上著名的 Weber 方程式的解。 本篇論文主要是推廣 1998 年西本勝之教授的結果, 及研論一般型 Weber 方程式的特解, 並舉例說明。 |
英文摘要 | Based on Nishimoto's fractional calculus [1], the particular solutions to the well-known special second order differential equations, such as Gauss, Legendre, Jacobi, Tchebycheff, and Coulomb have been obtained. As for their generalized form, their particular solutions are discussed via fractional calculus method by some authors ([2] ∼ [7] ). Recently, in 1999, S.T.Tu, et al. [8] have treated the particular solution to the generalized Nth order equations, such as Associated Legendre, Euler, and Hermite equations. In 1998. K. Nishimoto [10], obtained a particular solution to the famous second order Weber equation which appeared in quantum mechanics by using his N method. In this paper, the solution to its generalized Weber equation by using fractional calculus method will be discussed in detail with some examples given. |
本系統中英文摘要資訊取自各篇刊載內容。