Approximate solution of integro-differential equation of fractional (arbitrary) order

被引：17
|
作者：
Elbeleze, Asma A. [1 ]
Kilicman, Adem [2 ]
Taib, Bachok M. [1 ]
机构：
[1] USIM, Fac Sci & Technol, Nilai 71800, Malaysia
[2] Univ Putra Malaysia, Fac Sci, Dept Math, Serdang 43400, Selangor, Malaysia
来源：
JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2016年 / 28卷 / 01期
关键词：
Fractional calculus; Homotopy perturbation method; The variational iteration method; Fractional integro-differential equations; HOMOTOPY-PERTURBATION METHOD;
D O I：
10.1016/j.jksus.2015.04.006
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In the present paper, we study the integro-differential equations which are combination of differential and Fredholm-Volterra equations that have the fractional order with constant coefficients by the homotopy perturbation and the variational iteration. The fractional derivatives are described in Caputo sense. Some illustrative examples are presented. (C) 2015 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.
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页码：61 / 68
页数：8
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