期刊
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
卷 40, 期 7, 页码 743-762出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/01630563.2018.1499667
关键词
Approximate controllability; generalized Clarke directional derivative; hemivariational inequalities; Hilfer fractional derivative; mild solutions
资金
- Training Object of High Level and Innovative Talents of Guizhou Province [[2016] 4006]
- Science and Technology Program of Guizhou Province [[2017] 5788-10]
- Major Research Project of Innovative Group in Guizhou Education Department [[2018] 012]
- Guizhou Province Science and Technology Fund [[2016] 1160]
The paper is concerned with the approximate controllability of some Hilfer fractional evolution hemivariational inequalities. Using two classes of operators and their fundamental properties, we derive sufficient conditions for approximate controllability of linear and semilinear controlled systems via a fixed point theorem for multivalued maps. Finally, an example is given to illustrate our theory.
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