Positive solutions of a four-point fractional boundary value problem

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作者
Jia, Hongyan [1 ]
机构
[1] School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan,455000, China
关键词
Existence results - Fixed-point index - Fixed-point index theory - Four-point boundary value problem - Fractional derivatives - Fractional order derivatives - Nonlinear differential equation - Positive solution;
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摘要
In this paper, based on the contraction map principle and the fixed point index theory, sufficient conditions are established for the uniqueness and existence results of positive solution for four-point boundary value problem of nonlinear differential equation with Caputo's fractional order derivative. It is interesting to note that the Krein-Rutmann theorem is also used in this paper. Such investigations will provide an important platform for gaining a deeper understanding of our environment. © 2019, International Association of Engineers.
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