FRACTIONAL ORDER OPERATIONAL MATRIX METHOD FOR SOLVING TWO-DIMENSIONAL NONLINEAR FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

被引：1

作者：

Khajehnasiri, Amirahmad ^{[1
]}

Kermani, M. Afshar ^{[1
]}

Ezzati, Rezza ^{[2
]}

机构：

[1] Islamic Azad Univ, North Tehran Branch, Dept Math, Tehran, Iran

[2] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 04期

关键词：

Hat basis functions; operational matrix; error analysis; block pulse function; two-dimensional fractional integral equation; INTEGRAL-EQUATIONS; COMPUTATIONAL METHOD; NUMERICAL-METHODS; IDENTIFICATION; CALCULUS;

D O I：

10.46793/KgJMat2104.571K

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article presents a numerical method for solving nonlinear two-dimensional fractional Volterra integral equation. We derive the Hat basis functions operational matrix of the fractional order integration and use it to solve the two-dimensional fractional Volterra integro-differential equations. The method is described and illustrated with numerical examples. Also, we give the error analysis.

引用

页码：571 / 585

页数：15

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