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Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters

机译:一类具有积分边界条件和参数的高阶奇异半正分数阶微分系统的正解

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In this paper, we study the existence of a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. By using the properties of the Green’s function and the Guo-Krasnosel’skii fixed point theorem, we obtain some existence results of positive solutions under some conditions concerning the nonlinear functions. The method of this paper is a unified method for establishing the existence of positive solutions for a large number of nonlinear differential equations with coupled boundary conditions. In the end, examples are given to demonstrate the validity of our main results. MSC:34B16, 34B18.
机译:本文研究了一类具有积分边界条件和参数的高阶奇异半正分数阶微分系统的存在。通过使用格林函数和Guo-Krasnosel'skii不动点定理的性质,我们获得了在某些条件下有关非线性函数的正解的存在性结果。本文的方法是建立具有耦合边界条件的大量非线性微分方程正解存在性的统一方法。最后,通过实例说明了我们主要结果的有效性。 MSC:34B16、34B18。

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