论文标题
Hilfer-katugampola型分数方程的存在和延续
Existence and Continuation of Solutions of Hilfer-Katugampola-Type Fractional Differential Equations
论文作者
论文摘要
本文包含有关涉及Hilfer-katugampola型分数衍生物的广义分数库奇型问题的新讨论。我们研究其解决方案的存在和延续。首先，我们建立了当地存在的新定理。然后，我们针对一般的分数微分方程推导一个持续定理。通过应用本文推论的延续定理，我们提出了几个全球存在结果。此外，给出了示例以说明我们的主要结果。
This article contains a new discussion for the generalized fractional Cauchy-type problem involving Hilfer-Katugampola-type fractional derivative. We study an existence and continuation of its solution. Firstly, we establish a new theorems of local existence. Then, we deduce a continuation theorems for a general fractional differential equations. By applying continuation theorems deduced in this article, we present several global existence results. Moreover, the examples are given to illustrate our main results.
