论文标题

lyapunov型不平等现象的分数边界价值问题,分数边界条件

Lyapunov-Type Inequalities for a Fractional Boundary Value Problem with a Fractional Boundary Condition

论文作者

Dhar, Sougata, Neugebauer, Jeffrey T.

论文摘要

在本文中,我们考虑了具有分数边界条件的线性分数差分方程。首先,通过获得Green的功能,我们为这种边界价值问题得出了Lyapunov型不平等。此外,我们使用收缩映射定理来研究非线性问题的独特解决方案。

In this paper, we consider a linear fractional differential equation with fractional boundary conditions. First, by obtaining Green's function, we derive the Lyapunov-type inequalities for such boundary value problems. Furthermore, we use the contraction mapping theorem to study the existence of a unique solution to a nonlinear problem.

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