Аннотация:In this Comment, we correct misprints in equations of the paper “Fractional Nonlinear Dynamics of Learning with Memory” Nonlinear Dynamics. 2020. Vol.100. P.1231–1242. We also give conditions of the existence of solutions for nonlinear fractional differential equation, which correct the conditions given in Propositions 3.8 and 3.9 of the book (Theory and applications of fractional differential equations, Elsevier, Amsterdam, 2006). These conditions impose restrictions on the existence of solutions of nonlinear equations that describe the dynamics of learning with memory. Using these conditions, we give the correct formulations of the principle of inevitability of growth for process with memory and the principle of changing growth rates by memory, which are proposed in the commented article.