An Efficient Method for Solving Singularly Perturbed Riccati Equation with Fractional Order

被引：0

作者：

Syam M.I. ^{[1
]}

Haroun A. ^{[1
]}

Al Refai M. ^{[1
]}

Anwar M.N. ^{[2
]}

机构：

[1] Department of Mathematical Sciences, College of Science, UAE University, Al-Ain

[2] Basic Sciences Department, Faculty of Engineering, Pharos University in Alexandria, Alexandria

来源：

International Journal of Applied and Computational Mathematics | 2018年 / 4卷 / 1期

关键词：

Caputo fractional derivative; Nonlinear initial value problem; Singularly perturbed Riccati equation;

D O I：

10.1007/s40819-017-0474-6

中图分类号：

学科分类号：

摘要：

In this paper, we study a class of singularly perturbed Riccati equation with fractional order. We divide the problem into three problems. The first problem is the reduced problem when ϵ= 0. The second and third problems are fractional Riccati problem. The results show that the proposed analytical method can achieve excellent results in predicting the solutions of such problems. Numerical results are presented. © 2017, Springer (India) Private Ltd., part of Springer Nature.

引用

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