Asymptotic Behavior of Solution for a Fractional p-Kirchhoff Type Hyperbolic Equation with Variable Exponent
摘要
In this article, we consider a fractional p-Kirchhoff type hyperbolic equations, where the exponents in the damping and source terms are variables. First, we prove a theorem of existence of weak solution by using Faedo Galerkin approximations. Then, we prove the stability results of solution with negative initial energy. The stability established based on Komornik’s inequality.