2019/01/20 by Ahmed Alsaedi, Alsaedi, Ahmed, Mokhtar Kirane +3
Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #math.AP
paper · pdf · doi:10.48550/arxiv.1901.06632
6 pages, Quaestiones Mathematicae (2020)
openalex publication_date 2019/01/20 · arxiv created 2020/04/07 · arxiv updated 2020/04/09 · openalex created_date 2022/07/30 · openalex updated_date 2026/07/28
A time-space fractional reaction-diffusion equation in a bounded domain is considered. Under some conditions on the initial data, we show that solutions may experience blow-up in a finite time. However, for realistic initial conditions, solutions are global in time. Moreover, the asymptotic behavior of bounded solutions is analysed.