2 research outputs found
Generalized Fractional Operators on Time Scales with Application to Dynamic Equations
We introduce more general concepts of Riemann-Liouville fractional integral
and derivative on time scales, of a function with respect to another function.
Sufficient conditions for existence and uniqueness of solution to an initial
value problem described by generalized fractional order differential equations
on time scales are proved.Comment: This is a preprint whose final and definite form is with 'The
European Physical Journal Special Topics' (EPJ ST), ISSN 1951-6355 (Print),
ISSN 1951-6401 (Online), available at
[https://link.springer.com/journal/11734]. Submitted 20-June-2017; revised
26-Oct-2017; accepted for publication 06-April-2018. arXiv admin note: text
overlap with arXiv:1508.00754; text overlap with arXiv:nlin/0507061 by other
author