J. L. Silva
Methods Funct. Anal. Topology 24 (2018), no. 3, 275-287
In this paper we study the effect of subordination to the solution of a model of spatial ecology in terms of the evolution density. The asymptotic behavior of the subordinated solution for different rates of spatial propagation is studied. The difference between subordinated solutions to non-linear equations with classical time derivative and solutions to non-linear equation with fractional time derivative is discussed.
Methods Funct. Anal. Topology 22 (2016), no. 3, 197-209
We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. As a by-product we obtain the evolution of the density of particles in the fractional kinetics in terms of a non-linear Vlasov-type kinetic equation. As an application we study the intermittency of the fractional mesoscopic dynamics.
Methods Funct. Anal. Topology 10 (2004), no. 3, 54-63
Methods Funct. Anal. Topology 4 (1998), no. 4, 50-81
Methods Funct. Anal. Topology 4 (1998), no. 1, 32-58
Methods Funct. Anal. Topology 3 (1997), no. 3, 28-61