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

Authors

  • Félix Pedro Q. Gómez
  • Ruy Coimbra Charão

DOI:

https://doi.org/10.5540/03.2020.007.01.0444

Keywords:

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

Abstract

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.

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Published

2020-02-20

Issue

Section

Trabalhos Completos