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In this work, we introduce the notion of local and 2-local -derivations and describe local and 2-local 12-derivation of finite-dimensional solvable Lie algebras with filiform, Heisenberg, and abelian nilradicals. Moreover, we describe the local 12-derivation of oscillator Lie algebras, Schr\"odinger algebras, and Lie algebra with a three-dimensional simple part, whose radical is an irreducible module. We prove that an algebra with only trivial 12-derivation does not admit local and 2-local 12-derivation, which is not 12-derivation.
Khudoyberdiyev et al. (Thu,) studied this question.
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