  This manuscript examines the problem of nonlinear stochastic fractional
neutral integro-differential equations with weakly singular kernels. Our focus
is on obtaining precise estimates to cover all possible cases of Abel-type
singular kernels. Initially, we establish the existence, uniqueness, and
continuous dependence on the initial value of the true solution, assuming a
local Lipschitz condition and linear growth condition. Additionally, we develop
the Euler-Maruyama method for the numerical solution of the equation and prove
its strong convergence under the same conditions as the well-posedness.
Moreover, we determine the accurate convergence rate of this method under
global Lipschitz conditions and linear growth conditions.
