- 期刊
An Analytical Scheme for Multi-order Fractional Differential Equations
並列摘要
In this work, on the basis of homotopy analysis method, we propose a numerical procedure for solving multi-order fractional differential equations by transforming the original multi-order fractional differential equation into a system of single-order equations. To our knowledge this paper presents the first viable numerical method for an analytic solution of multi-order fractional differential equations. This approach provides a simple way to ensure the convergence of series of solution so that one can always get accurate enough approximations.
被引用紀錄
Li, P. H. (2014). 參孫力士：戲劇改編與情感研究 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2014.00451
Li, H. M. (2012). 鹼土族鉻氧化物介電性質之研究 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2012.01199
CASTILLO, J. D. D. L. B. (2013). 基因表現資料分析軟體 [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-2511201311302943
Moratto, R. (2013). 臺灣手語翻譯：邁向職業平等之路 [doctoral dissertation, National Taiwan Normal University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0021-0801201418030010
延伸閱讀
- Wang, Z. (2013). A Numerical Method for Delayed Fractional-Order Differential Equations. Journal of Applied Mathematics, 2013(), 422-428-148. https://doi.org/10.1155/2013/256071
- Rida, S. Z., & Arafa, A. A. M. (2011). New Method for Solving Linear Fractional Differential Equations. International Journal of Differential Equations, 2011(), 959-966. https://doi.org/10.1155/2011/814132
- Liu, L. (2013). Analytic Solutions of an Iterative Functional Differential Equations Near Regular Points. Journal of Applied Mathematics, 2013(), 321-329-632. https://doi.org/10.1155/2013/726076
- Meng, F. W. (2013). A New Approach for Solving Fractional Partial Differential Equations. Journal of Applied Mathematics, 2013(), 429-433-149. https://doi.org/10.1155/2013/256823
- Najafi, H. S., Sheikhani, A. R., & Ansari, A. (2011). Stability Analysis of Distributed Order Fractional Differential Equations. Abstract and Applied Analysis, (2011), 366-377. https://doi.org/10.1155/2011/175323