Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473417 | Computers & Mathematics with Applications | 2011 | 8 Pages |
Abstract
In this paper, Taylor expansion approach is presented for solving (approximately) a class of linear fractional integro-differential equations including those of Fredholm and of Volterra types. By means of the mmth-order Taylor expansion of the unknown function at an arbitrary point, the linear fractional integro-differential equation can be converted approximately to a system of equations for the unknown function itself and its mm derivatives under initial conditions. This method gives a simple and closed form solution for a linear fractional integro-differential equation. In addition, illustrative examples are presented to demonstrate the efficiency and accuracy of the proposed method.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Li Huang, Xian-Fang Li, Yulin Zhao, Xiang-Yang Duan,