Chebyshev cardinal functions: An effective tool for solving nonlinear Volterra and Fredholm integro-differential equations of fractional order

被引：0

作者：

Irandoust-pakchin, S. ^{[1
]}

Kheiri, H. ^{[1
]}

Abdi-mazraeh, S. ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2013年 / 37卷 / A1期

关键词：

Fractional; Volterra; Fredholm; operational matrix; collocation method of fractional derivative; Caputo derivative; Chebyshev cardinal function; DIFFERENTIAL-EQUATIONS; NUMERICAL-METHODS; DIFFUSION;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A computational method for numerical solution of a nonlinear Volterra and Fredholm integro-differential equations of fractional order based on Chebyshev cardinal functions is introduced. The Chebyshev cardinal operational matrix of fractional derivative is derived and used to transform the main equation to a system of algebraic equations. Some examples are included to demonstrate the validity and applicability of the technique.

引用

页码：53 / 62

页数：10

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