Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders  

作　　者：Fatheah Alhendi Wafa Shammakh Hind Al-Badrani 

机构地区：[1]Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia [2]Taibah University, Madinah, Saudi Arabia

出　　处：《Open Journal of Applied Sciences》2017年第4期157-170,共14页应用科学（英文）

摘　　要：In this article, variational iteration method (VIM) and homotopy perturbation method (HPM) solve the nonlinear initial value problems of first-order fractional quadratic integro-differential equations (FQIDEs). We use the Caputo sense in this article to describe the fractional derivatives. The solutions of the problems are derived by infinite convergent series, and the results show that both methods are most convenient and effective.In this article, variational iteration method (VIM) and homotopy perturbation method (HPM) solve the nonlinear initial value problems of first-order fractional quadratic integro-differential equations (FQIDEs). We use the Caputo sense in this article to describe the fractional derivatives. The solutions of the problems are derived by infinite convergent series, and the results show that both methods are most convenient and effective.

关 键 词：Fractional QUADRATIC Integro-Differential Equations Variational ITERATION METHOD HOMOTOPY Perturbation METHOD 

分 类 号：O1[理学—数学]