Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces

作者：Debbouche Amar; Torres Delfim F M^*

来源：International Journal of Control, 2013, 86(9): 1577-1585.

DOI：10.1080/00207179.2013.791927

• approximate controllability
• fractional multi-delay control system
• fractional nonlocal condition
• Schauder%26apos
• s fixed point theorem
• semigroups

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 Schauder%26apos;s 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.

• 出版日期2013-9-1