- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 4
- Regional Reconstruction of Semilinear Caputo Type Time-Fractional Systems Using the Analytical Appro...
Regional Reconstruction of Semilinear Caputo Type Time-Fractional Systems Using the Analytical Approach
Authors : Fatima Zahrae EL ALAOUİ, Ali BOUTOULOUT, Khalid ZGUAİD
Pages : 580-599
Doi:10.31197/atnaa.799236
View : 7 | Download : 2
Publication Date : 2021-12-30
Article Type : Research
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