期刊:
BOUNDARY VALUE PROBLEMS,2011年2011(1):1-17 ISSN:1687-2770
通讯作者:
Ouyang, Zigen
作者机构:
[Ouyang, Zigen] Univ S China, Sch Math & Phys, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Chen, Yuming] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada.
通讯机构:
[Ouyang, Zigen] U;Univ S China, Sch Math & Phys, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.
关键词:
Ordinary Differential Equation;Fractional Order;Fractional Derivative;Fixed Point Theorem;Fractional Differential Equation
摘要:
Though boundary value problems for fractional differential equations have been extensively studied, most of the studies focus on scalar equations and the fractional order between 1 and 2. On the other hand, delay is natural in practical systems. However, not much has been done for fractional differential equations with delays. Therefore, in this paper, we consider a boundary value problem of a general delayed nonlinear fractional system. With the help of some fixed point theorems and the properties of the Green function, we establish several sets of sufficient conditions on the existence of positive solutions. The obtained results extend and include some existing ones and are illustrated with some examples for their feasibility.