Stability of quadratic functional equation in modular spaces

In this paper, we study the Hyers-Ulam stability of the following equation \begin{multline*} φ(x+y-z)+φ(x+z-y)+φ(y+z-x)=φ(x-y)+φ(x-z)+φ(z-y) +φ(x)+φ(y) +φ(z) \end{multline*} in modular space, with or without ${\mathrm{\Delta }}_2$-condition, and in $\beta$-homogeneous Banach space.