Existence and Uniqueness of Solution for a Fractional Riemann-Liouville Initial Value Problem on Time Scales
Classical Analysis and ODEs
2015-12-24 v1
Abstract
We introduce the concept of fractional derivative of Riemann-Liouville on time scales. Fundamental properties of the new operator are proved, as well as an existence and uniqueness result for a fractional initial value problem on an arbitrary time scale.
Keywords
Cite
@article{arxiv.1508.00754,
title = {Existence and Uniqueness of Solution for a Fractional Riemann-Liouville Initial Value Problem on Time Scales},
author = {Nadia Benkhettou and Ahmed Hammoudi and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1508.00754},
year = {2015}
}
Comments
This is a preprint of a paper whose final and definite form is in Journal of King Saud University (Science), http://dx.doi.org/10.1016/j.jksus.2015.08.001 Paper submitted 18/May/2015; revised 31/July/2015; accepted for publication 03/Aug/2015