How to solve Partial differential equation (PDE) with delay!

I just have one question please, I searched on Mathematica documents concerning partial differential equations with delay, all I had found is ordinary differential equations(EDO), that’s means equation depends on only one variable, I want to know if it is possible to also solve the EDP(equation in which state depend on two variable) with delay?

I have this example in hand if anyone can solve it please:

T = 4;
homogen = 
  D[f[x, t], t] - D[f[x, t], {x, 2}]  + 
    Integrate[
     t*s*Sin[t] (f[x, s - 1])^2, {s, 0, t}] +  (3 + 
      Abs[f[x, t - 1]]) == 0;
 (*données initiales propres *)
ic = {f[x, t /; t <= 0] == x*Sin[t], {x, 0, [Pi]}};
 (* Condition aux bord de Dirichlet*)
bc = {f[0, t] == 0, f[[Pi], t] == 0};
(*résolution analytique de l'équation *)
sol1 = NDSolveValue[{homogen, ic, bc}, f, {x, 0, [Pi]}, {t, -T, T}]

I can’t solve it!! Help!!