Journal
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 156, Issue 1, Pages 79-95Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-012-0174-7
Keywords
Controllability; Fractional derivative; Functional evolution equations; Sobolev; Characteristic solution operators
Funding
- National Natural Science Foundation of China [11201091, 11271309]
- Key Projects of Science and Technology Research in the Chinese Ministry of Education [211169]
- Specialized Research Fund for the Doctoral Program of Higher Education [20114301110001]
- Key Projects of Hunan Provincial Natural Science Foundation of China [12JJ2001]
- [VEGA-MS 1/0507/11]
- [VEGA-SAV 2/0124/12]
- [APVV-0414-07]
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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.
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