Crossed Modules and Non-Abelian Extensions of Differential Leibniz Conformal Algebras

In this paper, we introduce two-term differential Leib infinity-conformal algebras and give characterizations of some particular classes of such two-term differential Leib infinity-conformal algebras. Furthermore, we discuss the classification of the non-Abelian extensions in terms of non-Abelian cohomology groups. Finally, we explore the inducibility of pairs of automorphisms and derive the analog Wells exact sequences under the circumstance of differential Leibniz conformal algebras.