Article ID: | iaor20131984 |
Volume: | 156 |
Issue: | 1 |
Start Page Number: | 79 |
End Page Number: | 95 |
Publication Date: | Jan 2013 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Zhou Yong, Wang JinRong, Fekan Michal |
Keywords: | control |
The paper is concerned with the controllability of fractional functional evolution equations of Sobolev type in Banach spaces. With the help of two new characteristic solution operators and their properties, such as boundedness and compactness, we present the controllability results corresponding to two admissible control sets via the well‐known Schauder fixed point theorem. Finally, an example is given to illustrate our theoretical results.