Nonexistence of Global Solutions for the Kirchhoff-Type Equation with Fractional Damped

Authors : Erhan Pişkin, Turgay Uysal

Pages : 131-136

Doi:10.33401/fujma.477003

View : 13 | Download : 8

Publication Date : 2018-12-25

Article Type : Research

Abstract :In this work, we investigate the Kirchhoff-type equation with a fractional damping term in a bounded domain. The fractional damping term plays a quenching role, which is weaker than strong damping and stronger than weak damping term. We prove a nonexistence of global solutions with negative inital energy. This result extends and improves some results in the literature.
Keywords : Fractional damping term, Global nonexistence, Kirchhoff-type equation