A modified quasilinearization method for fractional differential equations and its applications

被引：4

作者：

Vijesh, V. Antony ^{[1
]}

Roy, Rupsha ^{[1
]}

Chandhini, G. ^{[2
]}

机构：

[1] Indian Inst Technol, Sch Basic Sci, Indore 452017, India

[2] Natl Inst Technol Karnataka, Dept Math & Cornputat Sci, Surathkal 575025, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 266卷

关键词：

Caputo's fractional derivative; Fractional order Riccati equation; Monotone iterative technique; Quasilinearization; ORDER;

D O I：

10.1016/j.amc.2015.05.132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove an existence and uniqueness theorem for solving the nonlinear fractional differential equation of Caputo's type of order q (0, 1] using the method of modified quasilinearization. The main theorem has been illustrated numerically using appropriate examples which shows that the proposed quasilinearization method is robust and easy to apply. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：687 / 697

页数：11

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