The main aim of this paper is to consider various notions of (dense) mn-distributional chaos of type s and (dense) reiterative mn-distributional chaos of type s for general sequences of linear not necessarily continuous operators in Fréchet spaces. Here, (mn) is an increasing sequence in [1, ∞) satisfying lim infn→∞ mn n > 0 and s could be 0, 1, 2, 2+, 2 1 2 , 3, 1+, 2−, 2 Bd , 2 Bd + . We investigate mn-distributionally chaotic properties and reiteratively mndistributionally chaotic properties of some special classes of operators like weighted forward shift operators and weighted backward shift operators in Fréchet sequence spaces, considering also continuous analogues of introduced notions and some applications to abstract partial differential equations.2010 Mathematics Subject Classification. 47A06, 47A16. Key words and phrases. mn-distributional chaos of type s, reiterative mn-distributional chaos of type s, λ-distributional chaos of type s, reiterative λ-distributional chaos of type s, Fréchet spaces.The author is partially supported by grant 174024 of Ministry of Science and Technological Development, Republic of Serbia.