On Impulsive Fractional Differential Inclusions with a Nonconvex-valued Multimap in Banach Spaces

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-08-22 DOI:10.1134/s1995080224601231

V. Obukhovskii, G. Petrosyan, M. Soroka

引用次数: 0

Abstract

In this paper, we study the Cauchy problem for an impulsive semilinear fractional order differential inclusion with a nonconvex-valued almost lower semicontinuous nonlinearity and a linear closed operator generating a \(C_{0}\)-semigroup in a separable Banach space. By using the fixed point theory for condensing maps, we present a global theorem on the existence of a mild solution to this problem.

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论巴拿赫空间中具有非凸值多映射的脉冲分微分内含物

摘要在本文中，我们研究了在可分离的巴拿赫空间中，具有非凸值的几乎下半连续非线性的冲动半线性分数阶微分包含和产生一个\(C_{0}\)-半群的线性封闭算子的Cauchy问题。通过使用冷凝映射的定点理论，我们提出了关于这个问题存在温和解的全局定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lobachevskii Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

42.90%

发文量

127

期刊介绍： Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.