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

被引：0
|
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.
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页码：571 / 585
页数：15
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