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arXiv · 1304.0082

Approximate Controllability of Fractional Nonlocal Delay Semilinear Systems in Hilbert Spaces

Amar Debbouche·Delfim F. M. Torres
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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 Schauder'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.

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Amar Debbouche, Delfim F. M. Torres. 2013-03-30. Approximate Controllability of Fractional Nonlocal Delay Semilinear Systems in Hilbert Spaces. https://doi.org/10.1080/00207179.2013.791927

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