Banach 空间中分数阶微分方程$m$点边值问题的正解

Abstract

Abstract:

In this paper, we concider a class of fractional m-point boundary value problem in Banachspaces. First, we get properties ofthe Green function, then construct a special cone and establish the existence results of positive solutions by using the cone expasion and compression fixed point theorem. Finally, an example is given to illustrate the main results of this paper.

Key words: Fractional differential equation, m-point boundary value problem, Positive solu-tion, Cone

CLC Number:

34G20

WANG Yong-Qing, LIU Li-Shan. Positive Solutions for Fractional m-Point Boundary Value Problem in Banach Spaces[J].Acta mathematica scientia,Series A, 2012, 32(1): 246-256.

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Positive Solutions for Fractional m-Point Boundary Value Problem in Banach Spaces

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