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Error estimates in (Ω)), (Ω)), (Ω)), (Ω)), in ${ℝ}^2$, are derived for a mixed finite element method for the initial-boundary value problem for integro-differential equation $$u_t=\mathrm{div}\{a▽u+{\int }_0^t{b}_1▽u\mathrm{d}\tau +{\int }_0^t𝐜u\mathrm{d}\tau \}+f$$ based on the Raviart-Thomas space x ⊂ (div;Ω) x . Optimal order estimates are obtained for the approximation of in (Ω)) and the associated velocity in (Ω)), div in (Ω)). Quasi-optimal...