论文标题
格林的奇异分数微分方程和应用的功能
Green's function for singular fractional differential equations and applications
论文作者
论文摘要
在本文中，我们研究了具有奇异重量的非线性分数微分方程的阳性溶液的存在。我们得出了Green的功能和相应的积分操作员，然后检查操作员的紧凑性。作为一种应用，当非线性术语满足超线性或肌关系条件时，我们证明了正溶液的存在。该证明主要由Krasnoselski的古典固定点定理使用。
In this paper, we study the existence of positive solutions for nonlinear fractional differential equations with a singular weight. We derive Green's function and corresponding integral operator and then examine the compactness of the operator. As an application, we prove an existence-result for positive solutions when a nonlinear term satisfies either superlinear or sublinear conditions. The proof was mainly employed by Krasnoselski's classical fixed point theorem.
