Fatima Zahrae EL ALAOUİ, Ali BOUTOULOUT, Asmae TAJANİ

Regional Controllability for Caputo Type Semi-Linear Time-Fractional Systems.

The main purpose of this paper, is to study the regional controllability concept of a semi-linear time-fractionaldiffusion systems involving Caputo derivative of order α ∈ (0,1). The main result is obtained by using anextension of the Hilbert Uniqueness Method (HUM) in addition to a fixed point technique and under severalassumptions on the data of the considered equation. At the end, some numerical simulations are given toillustrate the efficiently of our result.

Keywords:

Regional Controllability, Fractional Calculus, Caputo Time-Fractional Systems Fixed Point Theorems, HUM Approach, Compact Operators,

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