The Cauchy Problem for the Generalized Fractional Second Order Semilinear Evolution Equation

Félix Pedro Q. Gómez, Ruy Coimbra Charão

Resumo


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.


Palavras-chave


Plate type equation. Generalized Boussinesq equation, Fractional Lapla- cians, Generalized rotational inertia. Fractional dissipation. Existence and uniqueness.

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DOI: https://doi.org/10.5540/03.2020.007.01.0444

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