Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales

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. © 2015 The Authors.

Bibliographic Details
Main Author: Benkhettou, Nadia (author)
Other Authors: Hammoudi, Ahmed (author), Torres, Delfim F.M. (author)
Format: article
Language:eng
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10773/16633
Country:Portugal
Oai:oai:ria.ua.pt:10773/16633
Description
Summary: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. © 2015 The Authors.