一类非线性分数阶微分方程边值问题的正解

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Positive Solution to Boundary Value Problem for a Classof Nonlinear Fractional Differential Equation

LI Yaohong

School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui Province, China

Received:2014-04-28 Online:2015-01-26 Published:2015-01-19
Contact: LI Yaohong E-mail:liz.zhanghy@163.com

Abstract

Abstract:

Using fixed point theory of cone expansion and compression of norm type, we investigated a class of boundary value problem for nonlinear fractional
differential equation with integral conditions. The relevant Green function and some sufficient conditions on the existence of positive solutions were established. Some examples were given to illustrate the application of the result.

Key words: positive solution, integral boundary value problem, fractional differential equation, fixed point theory

CLC Number:

O175.8

LI Yaohong. Positive Solution to Boundary Value Problem for a Classof Nonlinear Fractional Differential Equation[J].Journal of Jilin University Science Edition, 2015, 53(01): 21-26.

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Positive Solution to Boundary Value Problem for a Classof Nonlinear Fractional Differential Equation

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