Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval

被引:66
|
作者
Wang, Guotao [1 ]
机构
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
关键词
Explicit iteration; Unbounded solution; Fractional integral boundary condition; Error estimate; Infinite interval; DIFFERENTIAL-EQUATIONS;
D O I
10.1016/j.aml.2015.03.003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By employing the monotone iterative technique, we not only establish the existence of the unique solution for a fractional integral boundary value problem on semi-infinite intervals, but also develop an explicit iterative sequence for approximating the solution and give an error estimate for the approximation, which is an important improvement of existing results. (C) 2015 Elsevier Ltd. All rights reserved.
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页码:1 / 7
页数:7
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