A Truly Conformable Calculus on Time Scales
Classical Analysis and ODEs
2018-01-09 v1
Abstract
We introduce the definition of conformable derivative on time scales and develop its calculus. Fundamental properties of the conformable derivative and integral on time scales are proved. Linear conformable differential equations with constant coefficients are investigated, as well as hyperbolic and trigonometric functions.
Cite
@article{arxiv.1705.08928,
title = {A Truly Conformable Calculus on Time Scales},
author = {Benaoumeur Bayour and Ahmed Hammoudi and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1705.08928},
year = {2018}
}
Comments
This is a preprint of a paper whose final and definite form is with 'Global and Stochastic Analysis' (GSA), ISSN 2248-9444, available [http://www.mukpublications.com/gsa.php]. Submitted 27-Nov-2016; Revised 04-March and 03-April, 2017; Accepted 23-May-2017