The Cauchy Problem for the Generalized Fractional Second Order Semilinear Evolution Equation
Palavras-chave:Plate type equation. Generalized Boussinesq equation, Fractional Lapla- cians, Generalized rotational inertia. Fractional dissipation. Existence and uniqueness.
In this work we study the existence and uniqueness of solutions for a second order semilinear δ-α-γ-evolution equation with fractional damping term which includes some partial differential equations as plate equation under effects of rotational inertia or not and Boussinesq type that can model hydrodynamics problems.