On the Approximate Controllability of Fractional Evolution Equations with Generalized Riemann-Liouville Fractional Derivative

被引：39
作者：
Mahmudov, N. I. [1 ]
McKibben, M. A. [2 ]
机构：
[1] Eastern Mediterranean Univ, TR-10 Northern Cyprus, Mersin, Turkey
[2] West Chester Univ Penn, Dept Math, W Chester, PA 19383 USA
来源：
JOURNAL OF FUNCTION SPACES | 2015年 / 2015卷
关键词：
NONLOCAL CONDITIONS; MILD SOLUTIONS; EXISTENCE; SYSTEMS;
D O I：
10.1155/2015/263823
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss the approximate controllability of fractional evolution equations involving generalized Riemann-Liouville fractional derivative. The results are obtained with the help of the theory of fractional calculus, semigroup theory, and the Schauder fixed point theorem under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the abstract theory.
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页数：9
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