On spectral methods for solving variable-order fractional integro-differential equations

被引：26

作者：

Doha, E. H. ^{[1
]}

Abdelkawy, M. A. ^{[2
,3
]}

Amin, A. Z. M. ^{[4
]}

Lopes, Antonio M. ^{[5
]}

机构：

[1] Cairo Univ, Dept Math, Fac Sci, Giza, Egypt

[2] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh, Saudi Arabia

[3] Beni Suef Univ, Dept Math, Fac Sci, Bani Suwayf, Egypt

[4] Canadian Int Coll, Inst Engn, Dept Basic Sci, Giza, Egypt

[5] Univ Porto, Fac Engn, UISPA LAETA INEGI, Porto, Portugal

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 03期

关键词：

Fractional calculus; Variable-order fractional operator; Spectral collocation method; Shifted Jacobi-Gauss-quadrature; GAUSS COLLOCATION METHOD; BOUNDARY-VALUE-PROBLEMS; NUMERICAL-SOLUTION; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1007/s40314-017-0551-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper applies the shifted Jacobi-Gauss collocation (SJ-G-C) method for solving variable-order fractional integro-differential equations (VO-FIDE) with initial conditions. The Riemann-Liouville fractional derivative, , and integral, , of variable order are combined, and the SJ-G-C applied to produce a system of algebraic equations. Numerical experiments demonstrate the applicability and reliability of the algorithm when compared with current methods.

引用

页码：3937 / 3950

页数：14

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