论文标题
Banach空间中的隐式分数微分方程通过PICARD和弱PICARD操作员理论
Implicit Fractional Differential Equations in Banach Spaces via Picard and Weakly Picard Operator Theory
论文作者
论文摘要
在本文中，通过采用定点方法，我们获得了Banach空间中非线性隐式分数差分方程的存在和唯一性结果。此外，我们通过PICARD和弱的Picard Operator理论以及Pompeiu-Hausdorff函数获得了右侧涉及的功能的独特性，依赖性对初始条件的依赖性。
In this paper, by employing fixed-point methods, we obtain the existence and uniqueness results for the nonlinear implicit fractional differential equations in Banach spaces. Further, we obtain the uniqueness, dependence of the solution on the initial condition as well as on the functions involved on the right-hand side by means of Picard and weakly Picard operator theory and Pompeiu--Hausdorff functional.
