Approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions

被引：91
作者：
Yang, Min [1 ]
Wang, Qi-Ru [1 ]
机构：
[1] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 04期
关键词：
Approximate controllability; Hilfer fractional differential inclusions; Semigroup theory; Fixed-point; EVOLUTION-EQUATIONS; MILD SOLUTIONS; EXISTENCE;
D O I：
10.1002/mma.4040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the approximate controllability of Hilfer fractional differential inclusions with nonlocal conditions. Themain techniques rely on the fixed point theoremcombined with the semigroup theory, fractional calculus, and multivalued analysis. An interesting example is provided to illustrate the obtained results. Copyright (C) 2016 JohnWiley & Sons, Ltd.
引用
收藏
页码：1126 / 1138
页数：13
相关论文
共 36 条
[1]   A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative [J].
Agarwal, Ravi P. ;
Belmekki, Mohammed ;
Benchohra, Mouffak .
ADVANCES IN DIFFERENCE EQUATIONS, 2009, :1-47
[2]   Existence results for fractional order semilinear functional differential equations with nondense domain [J].
Belmekki, Mohammed ;
Benchohra, Mouffak .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) :925-932
[3]   Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions [J].
Debbouche, Amar ;
Torres, Delfim F. M. .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 :161-175
[4]  
DEIMLING K, 1992, DE GRUYTER SERIES NO, V1
[5]  
Diethelm K., 1999, On the solution of nonlinear fractional-order differential equations used in the modeling of viscoplasticity, P217
[6]   Existence of mild solution for evolution equation with Hilfer fractional derivative [J].
Gu, Haibo ;
Trujillo, Juan J. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 :344-354
[7]  
Hilfer R, 2000, Applications of Fractional Calculus in Physics, DOI [DOI 10.1142/3779, 10.1142/3779]
[8]  
Kilbas A A., 2006, North-Holland Mathematical Studies, Vvol 204
[9]   Basic theory of fractional differential equations [J].
Lakshmikantham, V. ;
Vatsala, A. S. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) :2677-2682
[10]  
Liu XH, 2014, J COMPUT ANAL APPL, V17, P468
1234