- Turkish Journal of Mathematics
- Vol: 44 Issue: 3
- Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion...
Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation
Authors : Ramiz Tapdigoğlu, Berıkbol Torebek
Pages : 960-969
Doi:10.3906/mat-1909-65
View : 6 | Download : 3
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :A time-fractional space-nonlocal reaction-diffusion equation in a bounded domain is considered. First, the existence of a unique local mild solution is proved. Applying Poincaré inequality it is obtained the existence and boundedness of global classical solution for small initial data. Under some conditions on the initial data, we show that solutions may experience blow-up in a finite time.Keywords : Caputo derivative, reaction-diffusion equation, involution, global existence, blow-up