Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders

• 作者: Fatheah Alhendi Hind Al-Badrani Wafa Shammakh
• 来源期刊: 应用科学(英文)
• 学科: 数学
• 关键词: Fractional QUADRATIC Integro-Differential Equations Variational ITERATION METHOD HOMOTOPY Perturbation METHOD
• 年，卷（期）: 2017,（4）
• 页码范围: 157-170
• 页数: 14页
• 分类号: O1

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.