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

Abstract

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.

Keywords

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

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