Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces

2013/05/22 by Amar Debbouche, Delfim F.M. Torres, Delfim F. M. Torres · 1 citation
Mathematics · Engineering · #Nonlinear Differential Equations Analysis #Fractional Differential Equations Solutions #Stability and Controllability of Differential Equations

paper · doi:10.1080/00207179.2013.791927

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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• Fractional delayed damped Mathieu equation

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