Existence results for fractional differential inclusions with three-point fractional integral boundary conditions

被引：2
作者：
Fu, Xi [1 ]
机构：
[1] Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
fractional differential inclusions; boundary value problems; existence results; multivalued maps; EQUATIONS;
D O I：
10.1186/1687-1847-2013-304
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with fractional differential inclusions with three-point fractional integral boundary conditions. We consider the fractional differential inclusions under both convexity and nonconvexity conditions on the multivalued term. Some new existence results are obtained by using standard fixed point theorems. Two examples are given to illustrate the main results.
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页数：13
相关论文
共 35 条
[11]   A note on the existence of solutions for some boundary value problems of fractional differential inclusions [J].
Cernea, Aurelian .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (02) :183-194
[12]  
Cernea A, 2011, ELECTRON J QUAL THEO, P1
[13]   On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions [J].
Cernea A. .
Journal of Applied Mathematics and Computing, 2012, 38 (1-2) :133-143
[14]   Some new existence results for fractional differential inclusions with boundary conditions [J].
Chang, Yong-Kui ;
Nieto, Juan J. .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) :605-609
[15]   Existence of Three Positive Solutions to Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equation [J].
Chen A. ;
Tian Y. .
Differential Equations and Dynamical Systems, 2010, 18 (3) :327-339
[16]   Positive solutions of fractional differential equations at resonance on the half-line [J].
Chen, Yi ;
Tang, Xianhua .
BOUNDARY VALUE PROBLEMS, 2012,
[17]  
Granas A., 2003, Fixed Point Theory, DOI DOI 10.1007/978-0-387-21593-8
[18]  
Hamani S, 2010, ELECTRON J DIFFER EQ
[19]  
Hu S., 1997, Handbook of Multivalued Analysis, VI
[20]  
Kilbas AA., 2006, Theory and Applications of Fractional Differential Equations, V204, DOI DOI 10.1016/S0304-0208(06)80001-0
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