Positive solutions for a class of nonlinear Hadamard fractional differential equations with a parameter

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作者
Haisong Huang
Weihua Liu
机构
[1] Zhengzhou Technology and Business University,Faculty of General Education
[2] Henan Agricultural Univeristy,College of Information and Management Science
关键词
Hadamard fractional differential equations; Positive solutions; Fixed-point theorem on cones; 34B18; 26A33; 34A34;
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摘要
In this paper, we investigate a class of boundary value problem of nonlinear Hadamard fractional differential equations with a parameter. By means of the properties of the Green function and Guo–Krasnosel’skii fixed-point theorem on cones, the existence and nonexistence of positive solutions are obtained. Finally, some examples are presented to show the effectiveness of our main results.
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