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Towards a non-conformable fractional calculus of n-variables

Martínez Francisco, Nápoles Juan E. Valdés

Journal of Mathematics and Applications

2020

Vol. 43

87--98

In this paper we present an extension of the non-conformable 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.

Approximation of functions of several variables in exponential weighted spaces

Górzeńska M., Leśniewicz M., Prętki Cz.

Fasciculi Mathematici

1999

Nr 29

23-34

In this note we define some operators Ln and U n of the Szasz-Mirakjan type in exponential weighted spaces of functions of several variables. In Sec. 2 we give some basic properties of these operators. The main theorems are given in Sec. 3. The similar results for functions belonging to polynomial weighted spaces are given in [3]. Some properties of these operators for functions of one variable with exponential weighted spaces are given in [4] .