非线性适型分数阶微分方程边值问题的可控性和Ulam稳定性
Controllability and Ulam Stability of Boundary Value Problems for Nonlinear Conformable Fractional Differential Equations
摘要: 研究了一类具有适型分数阶导数的非线性微分方程边值问题的可控性以及Ulam稳定性，通过建立恰当的控制函数，运用Krasnoselskii’s不动点定理得到了微分方程边值问题的可控性。同时得到了微分系统具有Ulam稳定性的新判据，最后给出例子说明了结果的可行性。
Abstract: In this paper, we study the controllability and Ulam stability of boundary value problems for a class of nonlinear differential equations with conformable fractional derivatives. By establishing appropriate control functions, we obtain the controllability of boundary value problems for dif-ferential equations using Krasnoselskii’s fixed point theorem. At the same time, a new criterion for Ulam stability of differential systems is obtained. Finally, an example is given to illustrate the fea-sibility of the results.
文章引用：郑雅丹, 贾梅. 非线性适型分数阶微分方程边值问题的可控性和Ulam稳定性[J]. 理论数学, 2023, 13(5): 1207-1218. https://doi.org/10.12677/PM.2023.135124

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