Integral of a handle function which contains another numerical integral inside

Hi

I want to calculate integral of this function bellow, but numconv is another numerical integral, it gives me an answer, but it takes a lot of time to calculate it. so I want to try another intergral like quad ,... but it gives me error because of numconv, so what should I do to expedite calculating this integral?

Rt=@(t)(((normcdf(D1,miuw1,sw1)).^m)*(poisspdf(m,lamda.*t))*numconv(H11,t,alpha11));
AB=integral(Rt,a,b,'ArrayValued',true)

Numconv is as follow:

Q=@(u)(gamcdf(H-u,alpha.*t,beta)).*(beta.^(m.*alpha2).*(u.^((m.*alpha2)-1)).*exp(-beta.*u))./gamma(m.*alpha2);
 U=quad(Q,0,H);

Could anyone help me revise these, to expedite my code? because I wanna use it in a simulation and it takes like 2 days to complete, because it should calculate this integral at each run.