Some results on impulsive boundary value problem for fractional differential inclusions

被引：0

作者：

Cao, Jianxin ^{[1
,2
]}

Chen, Haibo ^{[1
]}

机构：

[1] Cent S Univ, Dept Math, Changsha 410082, Hunan, Peoples R China

[2] Hunan Inst Engn, Fac Sci, Xiangtan 411104, Hunan, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2011年 / 11期

关键词：

Fractional differential inclusions; impulse; existence results; Filippov's theorem; EXISTENCE; UNIQUENESS; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with impulsive fractional differential inclusions with a fractional order multi-point boundary condition and with fractional order impulses. By use of multi-valued analysis and topological fixed point theory, we present some existence results under both convexity and nonconvexity conditions on the multi-valued right-hand side. The compactness of the solutions set and continuous version of Filippov's theorem are also investigated.

引用

页码：1 / 24

页数：24

共 50 条

[21] A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions
Agarwal, Ravi P.
Benchohra, Mouffak
Hamani, Samira
ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) : 973 - 1033
[22] NEUMANN BOUNDARY VALUE PROBLEMS FOR IMPULSIVE DIFFERENTIAL INCLUSIONS
Ntouyas, Sotiris K.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009,
[23] Boundary Value Problem for Impulsive Delay Fractional Differential Equations with Several Generalized Proportional Caputo Fractional Derivatives
Agarwal, Ravi P.
Hristova, Snezhana
FRACTAL AND FRACTIONAL, 2023, 7 (05)
[24] Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order
Wang, Guotao
Ahmad, Bashir
Zhang, Lihong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (03) : 792 - 804
[25] Impulsive problems for fractional differential equations with boundary value conditions
Guo, Tian Liang
Jiang, Wei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3281 - 3291
[26] Approximate controllability of impulsive Hilfer fractional differential inclusions
Du, Jun
Jiang, Wei
Niazi, Azmat Ullah Khan
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 595 - 611
[27] Fractional differential inclusions with fractional separated boundary conditions
Ahmad, Bashir
Ntouyas, Sotiris K.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (03) : 362 - 382
[28] Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
Ahmad, Bashir
Sivasundaram, S.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) : 251 - 258
[29] Boundary Value Problems for Fractional Differential Inclusions with Nonlocal Conditions
Hamani, Samira
Henderson, Johnny
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 967 - 979
[30] Existence results for fractional differential inclusions with three-point fractional integral boundary conditions
Fu, Xi
ADVANCES IN DIFFERENCE EQUATIONS, 2013,

← 1 2 3 4 5 →