一类分数阶中立型发展方程Mild解的存在性
Existence of Mild Solutions for a Class of Fractional Neutral Evolution Equations
DOI: 10.12677/PM.2022.128146, PDF,    科研立项经费支持
作者: 张 永, 胡芳芳*, 辛 珍：伊犁师范大学数学与统计学院，新疆 伊宁；伊犁师范大学应用数学研究所，新疆 伊宁
关键词: 分数阶中立型发展方程；非紧性测度条件；积分边界条件；Sadovskii不动点定理；存在性；Fractional Neutral Evolution Equations； Noncompactness Measure Condition； Integral Boundary Condition； Sadovskii Fixed Point； Existence
摘要: 本文讨论了带有积分边界条件的非局部分数阶中立型发展方程并通过非紧性测度估计方法，利用Sadovskii不动点定理，获得了mild解存在性的充分性条件。
Abstract: In this paper, we talk the nonlocal partial order neutral type evolution equation with integral boundary conditions, and obtain the adequacy conditions for the existence of mild solutions by non-compact measure estimation methods, using the Sadovskii fixed point theorem.
文章引用：张永, 胡芳芳, 辛珍. 一类分数阶中立型发展方程Mild解的存在性[J]. 理论数学, 2022, 12(8): 1333-1340. https://doi.org/10.12677/PM.2022.128146

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