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

Year 2022, , 1 - 13, 31.03.2022

Fatima Zahrae El Alaoui , Ali Boutoulout Asmae Tajani

https://doi.org/10.31197/atnaa.799248

Cited By: 1

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

Supporting Institution

Moualy Ismail University

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