A novel Legendre operational matrix for distributed order fractional differential equations

被引：50

作者：

Pourbabaee, Marzieh ^{[1
]}

Saadatmandi, Abbas ^{[1
]}

机构：

[1] Univ Kashan, Dept Appl Math, Fac Math Sci, Kashan 8731753153, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 361卷

关键词：

Distributed order equation; Fractional differential equations; Caputo derivative; Operational matrix; Legendre polynomials; DIFFUSION-WAVE EQUATION; NUMERICAL-SOLUTION; COLLOCATION METHOD; SCHEME;

D O I：

10.1016/j.amc.2019.05.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, for the first time, the shifted Legendre operational matrix of distributed order fractional derivative has been derived. Also, this new operational matrix is used together with tau method for approximation of solutions of linear distributed order fractional differential equations and diffusion equations with distributed order in time. Moreover, eight numerical examples are implemented in order to show the validity and reliability of the suggested methods. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：215 / 231

页数：17

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