论文标题

Hadamard型两点分数边界值问题的独特解决方案的尖锐估计值

Sharp estimates for the unique solution of the Hadamard-type two-point fractional boundary value problems

论文作者

Laadjal, Zaid, Adjeroud, Nacer

论文摘要

在此简短说明中,我们介绍了存在具有两点边界价值条件的Hadamard型分数微分方程的独特解决方案的清晰估计值。分析方法是通过使用绿色功能的积分和Banach收缩原理获得的。此外,我们还将获得特征值问题的特征值的较较高的下限。提出了两个示例,以阐明基本结果的适用性。

In this short note, we present the sharp estimate for the existence of a unique solution for a Hadamard-type fractional differential equations with two-point boundary value conditions. The method of analysis is obtained by using the integral of the Green's function and the Banach contraction principle. Further, we will also obtain a sharper lower bound of the eigenvalues for an eigenvalue problem. Two examples are presented to clarify the applicability of the essential results.

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