Optimal long-time decay rate of solutions of complete monotonicity-preserving schemes for nonlinear time-fractional evolutionary equations

Dongling Wang, Martin Stynes

The solution of the nonlinear initial-value problem ${\mathcal{D}}_t^{\alpha }y(t)=-\lambda y(t{)}^{\gamma }$ for $t>0$ with $y(0)>0$, where ${\mathcal{D}}_t^{\alpha }$ is a Caputo derivative of order $\alpha \in (0,1)$…