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

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Publication Date : 2021-12-30

Article Type : Research Paper

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