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

共 50 条

[21] Jacobi spectral Galerkin methods for fractional integro-differential equations
Yin Yang
Calcolo, 2015, 52 : 519 - 542
[22] Jacobi spectral Galerkin methods for fractional integro-differential equations
Yang, Yin
CALCOLO, 2015, 52 (04) : 519 - 542
[23] A Computational Approach for the Solution of A Class of Variable-Order Fractional Integro-Differential Equations With Weakly Singular Kernels
Behrouz Parsa Moghaddam
José António Tenreiro Machado
Fractional Calculus and Applied Analysis, 2017, 20 : 1023 - 1042
[24] A Jacobi Spectral Collocation Method for Solving Fractional Integro-Differential Equations
Qingqing Wu
Zhongshu Wu
Xiaoyan Zeng
Communications on Applied Mathematics and Computation, 2021, 3 : 509 - 526
[25] A Jacobi Spectral Collocation Method for Solving Fractional Integro-Differential Equations
Wu, Qingqing
Wu, Zhongshu
Zeng, Xiaoyan
COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2021, 3 (03) : 509 - 526
[26] An ε-Approximate Approach for Solving Variable-Order Fractional Differential Equations
Wang, Yahong
Wang, Wenmin
Mei, Liangcai
Lin, Yingzhen
Sun, Hongbo
FRACTAL AND FRACTIONAL, 2023, 7 (01)
[27] A CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR SOLVING FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS
Sweilam, N. H.
Khader, M. M.
ANZIAM JOURNAL, 2010, 51 (04): : 464 - 475
[28] Application of Bessel functions for solving differential and integro-differential equations of the fractional order
Parand, K.
Nikarya, M.
APPLIED MATHEMATICAL MODELLING, 2014, 38 (15-16) : 4137 - 4147
[29] Shifted Fractional-Order Jacobi Collocation Method for Solving Variable-Order Fractional Integro-Differential Equation with Weakly Singular Kernel
Abdelkawy, Mohamed A.
Amin, Ahmed Z. M.
Lopes, Antonio M.
Hashim, Ishak
Babatin, Mohammed M.
FRACTAL AND FRACTIONAL, 2022, 6 (01)
[30] A new approach by two-dimensional wavelets operational matrix method for solving variable-order fractional partial integro-differential equations
Saha Ray, Santanu
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (01) : 341 - 359

← 1 2 3 4 5 →