Non-differentiability and fractional differentiability on timescales

• Published in: Arabian Journal of Mathematics Vol. 7; no. 2; pp. 147 - 158
• Main Authors: Nategh, Mehdi, Neamaty, Abdolali, Agheli, Bahram
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2018; Springer; Springer Nature B.V
• Subjects: Derivatives (Mathematics); Difference equations; Mathematical research; Mathematics; Mathematics and Statistics; Mean value theorems (Calculus); Self-similarity; Theorems; 26E70; 28A80; 26A33

This work deals with concepts of non-differentiability and a non-integer order differential on timescales. Through an investigation of a local non-integer order derivative on timescales, a mean value theorem (a fractional analog of the mean value theorem on timescales) is presented. Then, by illustr...