文章基本信息

标题：The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
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作者：Meiqiang Feng ; Xiaofang Liu ; Hanying Feng 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2011
卷号：2011
期号：1
页码：546038
DOI：10.1155/2011/546038
语种：English
出版社：Hindawi Publishing Corporation
摘要：The expression and properties of Green's function for a class of nonlinear fractional differential equations with integral boundary conditions are studied and employed to obtain some results on the existence of positive solutions by using fixed point theorem in cones. The proofs are based on the reduction of the problem considered to the equivalent Fredholm integral equation of the second kind. The results significantly extend and improve many known results even for integer-order cases.
关键词：Fractional Derivative ; Fixed Point Theorem ; Fractional Differential Equation ; Real Banach Space ; Fixed Point Theory