- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 6 Issue: 1
- Regional Controllability for Caputo Type Semi-Linear Time-Fractional Systems.
Regional Controllability for Caputo Type Semi-Linear Time-Fractional Systems.
Authors : Fatima Zahrae EL ALAOUİ, Ali BOUTOULOUT, Asmae TAJANİ
Pages : 1-13
Doi:10.31197/atnaa.799248
View : 9 | Download : 1
Publication Date : 2022-03-31
Article Type : Research
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