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|Title:||Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces|
Torres, D. F. M.
Fractional multi-delay control system
Fractional nonlocal condition
Schauder's fixed point theorem
Fixed point theorems
Semilinear differential systems
Delay control systems
Fixed point arithmetic
|Publisher:||Taylor & Francis|
|Abstract:||We study the existence and approximate controllability of a class of fractional nonlocal delay semilinear differential systems in a Hilbert space. The results are obtained by using semigroup theory, fractional calculus and Schauders fixed point theorem. Multi-delay controls and a fractional nonlocal condition are introduced. Furthermore, we present an appropriate set of sufficient conditions for the considered fractional nonlocal multi-delay control system to be approximately controllable. An example to illustrate the abstract results is given. © 2013 Taylor & Francis.|
|Appears in Collections:||CIDMA - Artigos|
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