Cominimaxness of certain general local cohomology modules

Let R be a commutative Noetherian ring, Φ a system of ideals of R and I ∈ Φ.Let t ∈ N 0 be an integer and M an R-module such thatLet N be a finitely generated R-module.We also prove that Ext j R (N, H i Φ (M )) and Tor R j (N, H i Φ (M )) are Φ-cominimax for all i and j whenever M is minimax and H i Φ (M ) is FD ≤1 (or weakly Laskerian) for all i.