Oscillation of time fractional vector diffusion-wave equation with fractional damping

Abstract

In this paper, sufficient conditions for \(H\)-oscillation of solutions of a time fractional vector diffusion-wave equation with forced and fractional damping terms subject to the Neumann boundary condition are established by employing certain fractional differential inequality, where \(H\) is a unit vector in \(\mathbb{R}^n\). The examples are given to illustrate the main results.

Keywords

• fractional diffusion-wave equation
• \(h\)-oscillation
• vector differential equation