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

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发表日期：

2024年4月1日

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V. Obukhovskii,
G. Petrosyan,
M. Soroka

摘要

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.