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

共 34 条

[1] Afanasova M., 2021, Adv. Syst. Sci. Appl, V21, P40
[2] On the Boundary Value Problem for Functional Differential Inclusion of Fractional Order with General Initial Condition in a Banach Space
Afanasova, M. S.
Petrosyan, G. G.
[J]. RUSSIAN MATHEMATICS, 2019, 63 (09) : 1 - 11
[3] Afanasova M, 2019, J NONLINEAR CONVEX A, V20, P1919
[4] Bulgakov A.I., 1981, Differential Equations, V17, P1362
[5] Corduneanu C., 2002, Functional Equations with Causal Operators
[6] On the Cauchy problem for a class of differential inclusions with applications
Cubiotti, Paolo
Yao, Jen-Chih
[J]. APPLICABLE ANALYSIS, 2020, 99 (14) : 2543 - 2554
[7] Monotone iterative technique for periodic boundary value problems with causal operators
Drici, Z
McRae, FA
Devi, JV
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (06) : 1271 - 1277
[8] Differential equations with causal operators in a Banach space
Drici, Z
McRae, FA
Devi, JV
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (02) : 301 - 313
[9] Gomoyunov G. G., 2019, Prog. Fract. Differ. Appl, V5, P143, DOI [10.18576/pfda/050205, DOI 10.18576/PFDA/050205, 10.18576/PFDA/050205]
[10] FRACTIONAL DERIVATIVES OF CONVEX LYAPUNOV FUNCTIONS AND CONTROL PROBLEMS IN FRACTIONAL ORDER SYSTEMS
Gomoyunov, Mikhail I.
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (05) : 1238 - 1261

← 1 2 3 4 →