ON A BOUNDARY VALUE PROBLEM FOR HALE TYPE FRACTIONAL FUNCTIONAL-DIFFERENTIAL INCLUSIONS WITH CAUSAL MULTIOPERATORS IN A BANACH SPACE

被引：2

作者：

Obukhovskii, Valeri ^{[1
]}

Petrosyan, Garik ^{[1
,2
]}

Soroka, Maria ^{[1
]}

Wen, Ching-Feng ^{[3
,4
,5
]}

机构：

[1] Voronezh State Pedag Univ, Fac Phys & Math, Voronezh 394043, Russia

[2] Voronezh State Univ Engn Technol, Res Ctr, Voronezh 394036, Russia

[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80708, Taiwan

[4] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, Taiwan

[5] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 80708, Taiwan

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2023年 / 7卷 / 06期

关键词：

Caputo fractional derivative; Causal multivalued operator; Condensing multivalued map; Fractional functional differential inclusion; Measure of noncompactness; Topological degree; EQUATIONS;

D O I：

10.23952/jnva.7.2023.6.05

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of mild solutions to a nonlocal boundary value problem for fractional-functional differential inclusions of the Hale type in a separable Banach space. We assume that the linear part of an inclusion is an infinitesimal generator of a bounded C0-semigroup of linear operators, and the nonlinear part is a causal multivalued operator.

引用

页码：957 / 970

页数：14

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