Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

STRUCTURAL DERIVATIVES ON TIME SCALES

Pages
1186–1196
DOI
—

Abstract

We introduce the notion of structural derivative on time scales.The new operator of di§erentiation uniÖes the concepts of fractal and fractionalorder derivative and is motivated by lack of classical di§erentiability of someself-similar functions. Some properties of the new operator are proved andillustrated with examples.