Towards a Non-conformable Fractional Calculus of n-Variables

Abstract

In this paper we present an extension of the nonconformable local fractional derivative, to the case of functions of several variables. Results analogous to those known from the classic multivariate calculus are presented. To show the strength of this approach, we show an extension of the Second Lyapunov Method to the non-conformable local fractional case. AMS Subject Classification: 26B12, 26A24, 35S05.