Unbounded Solutions for a Fractional Boundary Value Problems on the Infinite Interval

被引：106

作者：

Zhao, Xiangkui ^{[1
,2
]}

Ge, Weigao ^{[2
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Appl Sci, Dept Math & Mech, Beijing 100083, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2010年 / 109卷 / 02期

关键词：

Boundary value problems; Unbounded solution; Riemann-Liouville fractional derivative; Infinite interval; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; DERIVATIVES;

D O I：

10.1007/s10440-008-9329-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the fractional boundary value problem [GRAPHICS] where D-0+(a) is the standard Riemann-Liouville fractional derivative. By means of fixed point theorems, sufficient conditions are obtained that guarantee the existence of solutions to the above boundary value problem. The fractional modeling is a generalization of the classical integer-order differential equations and it is a very important tool for modeling the anomalous dynamics of numerous processes involving complex systems found in many diverse fields of science and engineering.

引用

页码：495 / 505

页数：11

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