Regularization of derivatives on non-differentiable points. (March 2016)

• Record Type: Journal Article
• Authors: Prodanov, Dimiter
• Is Part Of: Journal of physics. Volume 701(2016)
• Publication Date: 2016-03
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/701/1/012031
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: The notion of derivative is limited only to the idealization of linear growth. The paper presents a formal regularization procedure for the derivatives of functions using the fractional velocity, i.e. a local fractional derivation operation. The approach can be applied in strongly non-linear or fractal settings, such as singular functions, Brownian motion, quantum paths, etc.