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題 名 | Particular Solutions of Riemann's Differential Equations by N-fractional Calculus Operator N广=利用分數微積分的N運算子求Riemann's微分方程的特解 |
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作 者 | 李春宜; | 書刊名 | 樹德學報 |
卷 期 | 24 1999.08[民88.08] |
頁 次 | 頁213-226 |
分類號 | 314.1 |
關鍵詞 | 分數微積分; N運算子; Riemann's微分方程; Operator N广; Fractional calculus; Homogeneous; Nonhomogeneous; Riemann's differential equations; |
語 文 | 英文(English) |
中文摘要 | 在先前論文裡,有關運用分數微積分方法去求解線性均勻與非均勻二階,三階至n 階的微分方程作者已經探討過。本論文是依據K.Nishimoto 教授的分數微積分中的N□運 算子去解非均勻的Riemann's 微分方程,並求得一系列完美的答案,比起用傳統的級數求 解方便且容易很多。 |
英文摘要 | The use of fractional calculus to solve linear homogeneous and non-homogeneous 2□order, 3□ order up to n□ order differential equations have been discussed in the previous articles [8, 11- 14]. In this research, applications of the N-fractional calculus operator N□ to Riemann's differential equation Z(1-z)□+[(1-r□ )-(r□ +r□ +1)z]□–r□r□=f, where □, were discussed. Compared to the traditional Series method, the N□method, based on Nishimoto's fractional calculus, is much easier to use and comprehend for solving Riemann's differential equations. |
本系統中英文摘要資訊取自各篇刊載內容。