Approximate analytical solutions of nonlocal fractional boundary value problems

被引：19

作者：

Li, Xiuying ^{[1
]}

Wu, Boying ^{[2
]}

机构：

[1] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2015年 / 39卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

Analytical method; Fractional boundary value problems; Nonlocal boundary conditions; Approximate solutions; REPRODUCING KERNEL-METHOD; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; UNIQUENESS; EXISTENCE;

D O I：

10.1016/j.apm.2014.09.035

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A new computational method is proposed for solving fractional differential equations with nonlocal boundary conditions based on the reproducing kernel method (RKM). The present method can avoid finding a reproducing kernel satisfying nonlocal boundary conditions. Four numerical examples are provided to demonstrate the accuracy and efficiency of the method. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1717 / 1724

页数：8

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