Abstract
In the literature, many researchers have studied Lotka-Volterra (L-V) models for different types of studies. In order to continue the study, we consider a fractional-order L-V model involving three different species in the Atangana-Baleanu-Caputo (ABC) sense of fractional derivative. This new model has potentials for a large number of research-oriented studies. The first point that arises is whether the new model has a solution or not. Therefore, to answer this question, we consider the existence and uniqueness (EU) of the solutions and then Hyers-Ulam (HU) stability for the proposed L-V model.