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題名 | Solutions of Some Classes of Non-Fuchsian Differential Equations with Nine Parameters via Fractional Calculus Operators |
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作者姓名(中文) | 王冰玉; | 書刊名 | 南亞學報 |
卷期 | 24 2004.08[民93.08] |
頁次 | 頁100-108 |
分類號 | 314.22 |
關鍵詞 | 微分方程式; 分數微分算子; |
語文 | 英文(English) |
中文摘要 | 在1996年,Nishimoto等人,利用Nv-分數微積分算子發現了非齋次Whittaker方程式 □ 及Fukuhara方程式 □ 之特昧解,為了發現上述方程式的一般類別方程式,在2003年, Shy-Der Lin等人獲得具有6個參數的non-Fuchsian微分方程式的解 □ 且□. 本篇文章的主題在於提出更一般的具有9個參數的non-Fuchsian微分方程式,藉由分數微分算子得到其解。 □ |
英文摘要 | In 1996, Nishimoto et al. ([2], [3]) who found (explicit) particular solutions of the non-homogeneous Whittaker equations □ and Fukuhara equations □ by making use of Nv fractional calculus operators. In order to find its general class of above equations, in 2003, Shy-Der Lin et al. [4] obtained the solutions of non-Fuchsian differential equations with six parameters □ where □. The main object of this paper is to present the solutions of more general following classes of non-Fuchsian differential equations with nine parameters via fractional calculus operators □. |
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