论文标题
摘要的凯奇（Cauchy）问题
Abstract Cauchy problems for the generalized fractional calculus
论文作者
论文摘要
我们专注于最终的非线性抽象Cauchy问题，并随着时间的推移具有广义分数衍生物。首先，我们证明了局部存在和独特性结果，然后我们专注于广义的Grönwall不平等。在解决不平等之前，我们研究了广义分数衍生物的特征值和特征功能的某些特性。最后，我们证明了普遍的Grönwall不平等的后果。
We focus on eventually non-linear abstract Cauchy problems with a generalized fractional derivative in time. First we prove a local existence and uniqueness result, then we focus on a generalized Grönwall inequality. Before addressing the inequality, we study some properties of eigenvalues and eigenfunctions of the generalized fractional derivatives. Finally, we prove some consequences of the generalized Grönwall inequality.
