巴拿赫空间中隐式分数阶微分方程的Picard和弱Picard算子理论
Implicit Fractional Differential Equations in Banach Spaces via Picard and Weakly Picard Operator Theory
摘要：
本文利用不动点方法，得到了巴拿赫空间中非线性隐式分数阶微分方程解的存在唯一性结果.利用Picard算子理论、弱Picard算子理论和Pompeiu-Hausdorff泛函，得到了该方程解的唯一性、对初始条件的依赖性以及对右端函数的依赖性.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
