Decay estimates for a perturbed two-terms space-time fractional diffusive problem
Decay estimates for a perturbed two-terms space-time fractional diffusive problem
In the present paper we consider the Cauchy-type problem associated to the space-time fractional differential equation \begin{document}$ \partial_t u+\partial_t^{\beta}(-\Delta)^{1-\beta}u-\Delta u = g(t, x), \quad t>0, \ x\in \mathbb R^n $\end{document} with $ \beta\in (0, 1) $, where the fractional derivative $ \partial_t^{\beta} $ is in Caputo sense and $ (-\Delta)^{1-\beta} …