Approximate controllability of fractional order semilinear delay systems. (English) Zbl 1251.93039
Summary: In this paper, the approximate controllability for a class of semilinear delay control systems of fractional order is proved under the natural assumption that the linear system is approximately controllable. The existence and uniqueness of the mild solution is also proved under suitable assumptions. An example is given to illustrate our main results.
MSC:
| 93B05 | Controllability |
| 93C05 | Linear systems in control theory |
| 93C25 | Control/observation systems in abstract spaces |
| 34A08 | Fractional ordinary differential equations |
Keywords:
approximate controllability; semilinear system; fractional order delay system; mild solutionReferences:
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