Impulsive fractional differential equations with variable times

被引:26
作者
Benchohra, Mouffak [1 ]
Berhoun, Farida [1 ]
机构
[1] Univ Sidi Bel Abbis, Math Lab, Sidi Bel Abbes 22000, Algeria
关键词
Initial value problem; Impulses; Variable times; Caputo fractional derivative; Fractional integral; Existence; Fixed point; EXISTENCE; ORDER; UNIQUENESS;
D O I
10.1016/j.camwa.2009.05.016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential equations with variable times involving the Caputo fractional derivative. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1245 / 1252
页数:8
相关论文
共 57 条
[1]  
Agarwal Ravi P., 2008, Advanced Studies in Contemporary Mathematics, V16, P181
[2]  
Agarwal RP, 2008, MEM DIFFER EQU MATH, V44, P1
[3]  
[Anonymous], 2006, Contemporary Mathematics and its Applications
[4]  
[Anonymous], 1995, J FRACT CALC
[5]  
[Anonymous], 1989, Geometric Theory of Semilinear Parabolic Partial Differential Equations, DOI DOI 10.1007/BFB0089647
[6]   Existence of positive solutions for N-term non-autonomous fractional differential equations [J].
Babakhani, A ;
Daftardar-Gejji, V .
POSITIVITY, 2005, 9 (02) :193-206
[7]  
Babakhani A, 2006, ELECTRON J DIFFER EQ
[8]  
Bainov D.D., 1989, Systems with Impulsive Effect: Stability, Theory and Applications
[9]   Periodic boundary value problem for first order differential equations with impulses at variable times [J].
Bajo, I ;
Liz, E .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (01) :65-73
[10]  
Belmekki M., 2008, Proc. A. Razmadze Math. Inst., V146, P9