Chain rules and inequalities for the BHT fractional calculus on arbitrary time scales
Classical Analysis and ODEs
2017-03-03 v1
Abstract
We develop the Benkhettou-Hassani-Torres fractional (noninteger order) calculus on time scales by proving two chain rules for the -fractional derivative and five inequalities for the -fractional integral. The results coincide with well-known classical results when the operators are of (integer) order and the time scale coincides with the set of real numbers.
Keywords
Cite
@article{arxiv.1611.09049,
title = {Chain rules and inequalities for the BHT fractional calculus on arbitrary time scales},
author = {Eze R. Nwaeze and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1611.09049},
year = {2017}
}
Comments
This is a preprint of a paper whose final and definite form is published in 'Arabian Journal of Mathematics', ISSN 2193-5343 (Print) 2193-5351 (Online). Paper submitted 25/Feb/2016; revised 24/Sept/2016; accepted 28/Nov/2016