%0 Journal Article %T On a Leibnitz-type fractional derivative %A V. V. Kobelev %J Physics %D 2012 %I arXiv %X The new type of fractional derivative, referred to as \alpha-derivative, is studied. The \alpha-derivative of fractional type obeys Leibnitz rule. Based on the definition of \alpha-derivative the operations of analysis and differential geometry are studied %U http://arxiv.org/abs/1202.2714v2