Open Access

  

Original research article

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

Author(s):

Tajani Asmae¹, El Alaoui Fatima-Zahrae¹, Boutoulout Ali¹

¹Department of Mathematics, Moulay Ismail University, Meknes, Morocco.

Advances in the Theory of Nonlinear Analysis and its Applications 6(1), 01-13.
Received: September 23, 2020

  

  

  

Accepted: September 2, 2021

  

Published: September 18, 2021

Abstract

The main purpose of this paper is to study the regional controllability concept of a semi-linear time-fractional diffusion system 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 efficiency of our result.

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

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APA Style

El Alaoui, F. Z., Boutoulout, A., & Tajani, A. (2022). Regional Controllability for Caputo Type Semi-Linear Time-Fractional Systems. Advances in the Theory of Nonlinear Analysis and its Application, 6(1), 1-13.