Regional Reconstruction of Semilinear Caputo Type Time-Fractional Systems Using the Analytical Approach

Open Access

Original research article

Author(s):

Khalid Zguaid, Fatima-Zahrae El Alaoui, Ali Boutoulout

Department of Mathematics, Moulay Ismail University, Meknes, Morocco

Advances in the Theory of Nonlinear Analysis and its Applications 5 (4), 580-599.

Received: September 23, 2020

Accepted: July 28, 2021

Published: July 30, 2021

Abstract

The aim of this paper is to investigate the concept of regional observability, specifically the regional reconstruction of the initial state, for a semilinear Caputo-type time-fractional diffusion system. The approaches presented in this work are based on fixed point techniques that lead to a successful algorithm, which is further validated through numerical examples.

Keywords: Regional observability; Control theory; Fractional calculus; Semilinear systems.

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APA Style

El Alaoui, F. Z., Boutoulout, A., & Zguaid, K. (2021). Regional reconstruction of semilinear Caputo type time-fractional systems using the analytical approach. Advances in the Theory of Nonlinear Analysis and its Application , 5 (4), 580-599.