Research Communication | Open Access
Volume 2019 | Communication ID 172
Volume 2019 | Communication ID 172
| On the Regional Observability of semilinear Time-Fractional Diffusion Systems |
Khalid Zguaid, Fatima Zahrae El Alaoui, Ali Boutoulout
Received |
Accepted |
Published |
Jan 30, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: The aim of this work is to investigate the concept of the regional observability for a class of semilinear time-fractional diffusion systems of Caputo type. We use two approaches for the regional reconstruction of the initial state on a subregion, with positive lebesgue measure, of the evolution domain, the first being the direct approach and the second is the analytical approach where we suppose that the dynamic of the system generates an analytical semigroup. The two approaches are based on fixed point techniques.