Laws of Motion

Let fricn. between the surfaces of m1 and M be f₁, m2 and the floor be f₂ and between M and the floor be 0.

Let M be pulled towards right by a force F and it move with an acceleration a.
Please see if my equations are right :

F - 2T + f₁ = Ma .... (1)

for m1 :
T + m₁a - f₁ = m₁a^'
(a^' is the accleration of m1)
for m2 :

T - f₂ = m₂(a-a^')

Please rectify the wrong equations....