Finiteness of extension functors of local cohomology modules

Let R be a commutative Noetherian ring, alpha an ideal of R and M a finitely generated R-module. Let t be a non-negative integer such that H-alpha(i) (M) is alpha-cofinite for all i < t. It is well-known that Hom(R) (R/alpha, H-alpha(t)(M)) is finitely generated R-module. In this paper we study the finiteness of Ext(R)(1)(R/alpha, H-alpha(t)(M)) and Ext(R)(2)(R/alpha, H-alpha(t)(M)).