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.
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页码：495 / 505
页数：11
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