A numerical approach for solving a class of variable-order fractional functional integral equations

被引：0
|
作者：
Farzad Khane Keshi
Behrouz Parsa Moghaddam
Arman Aghili
机构：
[1] Islamic Azad University,Department of Mathematics, Lahijan Branch
[2] University of Guilan,Department of Applied Mathematics, Faculty of Mathematical Sciences
来源：
Computational and Applied Mathematics | 2018年 / 37卷
关键词：
Variable-order fractional calculus; Integro spline; Richardson extrapolation; Discretization error; Pantograph functional integral equation; Emden–Fowler functional integral equation; 46N20; 65Q20; 26A33; 34K28; 65L70;
D O I：
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学科分类号：
摘要：
This paper proposes new discretization techniques to estimate variable-order fractional integral operators based on the piecewise integro quadratic spline interpolation. The proposed methods are modified to solve a class of variable-order fractional functional integral equations. Moreover, we investigate the performance of the proposed methods by solving the variable-order fractional pantograph and Emden–Fowler functional integral equations.
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页码：4821 / 4834
页数：13
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