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.
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页码：957 / 970
页数：14
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