一类分数阶发展方程非局部问题的精确可控性
Exact Controllability for a Class of Fractional Evolution Equations with Nonlocal Conditions
摘要: 本文讨论了一类分数阶发展方程非局部问题的精确可控性。文中通过引入一个新的非紧性测度，在C0-半群等度连续的情形下，运用Mönch不动点定理，证明了该问题的精确可控性，并通过一个具体的例子来验证本文的抽象结论。
Abstract: This paper discusses the exact controllability of nonlocal conditions for a class of fractional evolution equations . In this paper, by introducing a new measure of non-compactness, the exact controllability of the problem is proved by using Mönch fixed point theorem under the condition that C0-semigroup is equicontinuous, and an example is given to verify the abstract conclusion of this paper.
文章引用：苏怡, 杨和. 一类分数阶发展方程非局部问题的精确可控性[J]. 理论数学, 2022, 12(5): 861-874. https://doi.org/10.12677/PM.2022.125096

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