2012/02/13 by Vladimir Kobelev, Kobelev, V. V.
Mathematics · #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical and Theoretical Analysis
paper · pdf · doi:10.48550/arxiv.1202.2714
A type of fractional derivative, referred to as α-derivative, is studied. The α-derivative of fractional type obeys Leibnitz rule. Based on the definition of α-derivative the operations of analysis and differential geometry are studied It was recently proved, that this variant of introduction of the derivative leads to a new scaling of the common Leibniz derivative, but not to a alternative type of derivation. In other words, all derivatives, that satisfy the Leibniz rule, are algebraically equivalent.