分数阶微分方程积分边值问题正解的存在性

J4 ›› 2011, Vol. 49 ›› Issue (05): 823-828.

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Existence of Positive Solutions for a Class of Fractional Differential Equation with Integral Boundary Value Problems

JIN Jingfu, LIU Xiping, DOU Lixia, WANG Pingyou

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2010-12-13 Online:2011-09-26 Published:2011-09-27
Contact: LIU Xiping E-mail:xipingliu@163.com

Abstract

Abstract:

The authors investigated the existence of positive solutions of the boundary value problems for fractional differential equation with integral boundary conditions. By using the fixed point theorem in cones, some new results of existence of at least one positive solution for the boundary value problem were obtained. Corresponding examples were presented to illustrate the application of the main results.

Key words: fractional differential equation, integral boundary value problem, Caputo fractional derivative, fixed point theorem in cones； positive solutions

CLC Number:

O175.8

JIN Jing-Fu, LIU Ti-Beng, DOU Li-Xia, WANG Beng-You. Existence of Positive Solutions for a Class of Fractional Differential Equation with Integral Boundary Value Problems[J].J4, 2011, 49(05): 823-828.

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Existence of Positive Solutions for a Class of Fractional Differential Equation with Integral Boundary Value Problems

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