2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213871The large time behavior of nonnegative solutions to the reaction-diffusion equation $\partial_t u=-(-Δ)^{α/2}u - u^p,$ $(α\in(0,2], p>1)$ posed on $\mathbb{R}^N$ and supplemented with an integrable initial condition is studied. We show that the anomalous diffusion term determines the large time asymptotics for $p>1+α/{N},$ while nonlinear effects win if $p\leq1+α/{N}.$Analysis of PDEs35K55, 35B40, 60H99text