Regional Controllability for Caputo Type Semi-Linear Time-Fractional Systems
Keywords:
Regional Controllability, Fractional Calculus, Caputo Time-Fractional Systems, Fixed Point Theorems, HUM Approach, Compact OperatorsAbstract
The main purpose of this paper, is to study the regional controllability concept of a semi-linear time-fractional diffusion systems involving Caputo derivative of order α ∈ (0,1). The main result is obtained by using an extension of the Hilbert Uniqueness Method (HUM) in addition to a fixed point technique and under several assumptions on the data of the considered equation. At the end, some numerical simulations are given to illustrate the efficiently of our result.
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