B-spline operational matrix of fractional integration

被引：7

作者：

Ismaeelpour, Tahereh ^{[1
]}

Hemmat, Ataollah Askari ^{[2
]}

Saeedi, Habibollah ^{[2
]}

机构：

[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran

[2] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Appl Math, Kerman, Iran

来源：

OPTIK | 2017年 / 130卷

关键词：

B-spline; Wavelet; Fractional integro-differential equation; Partial differential equation; Operational matrix of integration;

D O I：

10.1016/j.ijleo.2016.10.066

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, we use the second and third order spline functions to derive the operational matrix of fractional integration, which we then apply to solve fractional integro-differential equations, Abel equations and partial fractional differential equations. We also present a method based on the dual functions of B-spline functions to solve fractional equations. This method results in an algebraic system that we can solve easily. Finally, we present illustrative examples to demonstrate the applicability of our method and compare it with other known ones. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：291 / 305

页数：15

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