Structural derivatives on time scales

Authors : Benaoumeur BAYOUR, Delfim F M TORRES

Pages : 1186-1196

Doi:10.31801/cfsuasmas.513107

View : 13 | Download : 13

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :We introduce the notion of structural derivative on time scales. The new operator of differentiation unifies the concepts of fractal and fractional order derivative and is motivated by lack of classical differentiability of some self-similar functions. Some properties of the new operator are proved and illustrated with examples.
Keywords : Hausdorff derivative of a function with respect to a fractal measure, structural and fractal derivatives, self similarity, time scales, hilger derivative of non integer order