Properties of Positive Solutions to a Class of Fractional Differential Equations With Parameters and Integral Boundary Conditions
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摘要: 研究了一类含参数的分数阶微分方程边值问题,主要运用锥上的不动点定理及混合单调算子特征值问题的性质得出了正解关于参数的性质:存在唯一性、单调性、连续性以及极限性质.最后举例说明了结果的可行性.Abstract: A class of boundary value problems of fractional differential equations with parameters were studied. Based on the fixed point theorem and the properties of the mixed monotone operator eigenvalue problems, some characteristics of positive solutions to the fractional differential equations depending on the parameters were obtained: existence and uniqueness, monotonicity, continuity and limitations. In the end, an example was given to illustrate the rationality of the main results.
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