A conformable fractional calculus on arbitrary time scales

A conformable time-scale fractional calculus of order α∈]0,1] is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by choosing α=1.

Bibliographic Details
Main Authors: Nadia Benkhettou, Salima Hassani, Delfim F.M. Torres
Format: Article
Language:English
Published: Elsevier 2016-01-01
Series:Journal of King Saud University: Science
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364715000464