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

Year 2021, Volume: 5 Issue: 4, 580 - 599, 30.12.2021

Fatima Zahrae El Alaoui , Ali Boutoulout Khalid Zguaid

https://doi.org/10.31197/atnaa.799236

Cited By: 5

Abstract

The aim of this paper is to investigate the concept of regional observability which is a very important notion of systems theory, precisely regional reconstruction of the initial state for a semilinear Caputo type time-fractional diffusion system which is an interesting class of sytems . Then we give some definitions and properties to introduce our notion. The approaches
attempted in this work are both based on fixed point techniques that
leads to a successful algorithm which is tested by numerical examples which valid the used approach.

Keywords

Regional Obervability, Control Theory, Fractional Calculus, Semilinear Systems

Supporting Institution

Moualy Ismail University

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