Mixed type is a further step of development in functional equations. In this paper, the authors made an attempt to introduce such equation of the following form with its general solution h(py + z) + h(py − z) + h(y + pz) + h(y − pz) = (p + p 2)[h(y + z) + h(y − z)] + 2h(py) − 2(p 2 + p − 1)h(y) for all y, z ∈ R, p 0, ±1. Also, without Fatou property authors investigate its various stabilities related to Ulam problem in modular space by considering with and without ∆ p −condition