Title
Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique
Abstract
This paper is concerned with the approximate controllability of the semilinear fractional evolution equations with nonlocal and impulsive conditions. Our main results are obtained by utilizing the technique of approximate solution and the theory of fixed point. In addition, the impulsive functions in this paper are supposed to be continuous and the nonlocal item is divided into two cases: Lipschitz continuous and only continuous, which generalizes the previous contributions. Finally two examples are worked out to illustrate our obtained results.
Year
DOI
Venue
2016
10.1016/j.amc.2015.11.056
Applied Mathematics and Computation
Keywords
Field
DocType
Fractional evolution equations,Impulsive conditions,Nonlocal conditions,C0-semigroup,Approximate controllability
Mathematical optimization,Controllability,Mathematical analysis,Lipschitz continuity,Fixed point,Approximate solution,Mathematics
Journal
Volume
Issue
ISSN
275
C
0096-3003
Citations 
PageRank 
References 
2
0.41
9
Authors
3
Name
Order
Citations
PageRank
Fudong Ge1135.66
Hua-Cheng Zhou220.41
Chunhai Kou3175.38