A new Jacobi Tau method for fuzzy fractional Fredholm nonlinear integro-differential equations

被引：3

作者：

Bidari, Azizeh ^{[1
]}

Dastmalchi Saei, Farhad ^{[1
]}

Baghmisheh, Mahdi ^{[1
]}

Allahviranloo, Tofigh ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Tabriz Branch, Tabriz, Iran

[2] Bahcesehir Univ, Dept Engn & Nat Sci, Istanbul, Turkey

来源：

SOFT COMPUTING | 2021年 / 25卷 / 08期

关键词：

Spectral Tau method; Fuzzy nonlinear integro-differential equations; Convergence analysis; Fuzzy Caputo fractional derivative; Fractional-order Jacobi polynomials; NUMBER-VALUED FUNCTIONS; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION;

D O I：

10.1007/s00500-021-05578-8

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we propose a numerical method based on new fractional-order Jacobi polynomials for solving nonlinear fuzzy fractional integro-differential equations. Some operational matrices are used to reduce the problem to the system of algebraic equations. The convergence analysis of the method is provided. The accuracy of the method is illustrated by solving some numerical experiments.

引用

页码：5855 / 5865

页数：11

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