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.

Bibliographic Details
Main Authors: Nadia Benkhettou, Ahmed Hammoudi, 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/S1018364715000713