Progress in Fractional Differentiation & Applications
Abstract
In this paper, we continue with the development of the newly Benkhettou–Hassani–Torres fractional (noninteger order) calculus on time scales by proving Rolle’s Theorem, Mean Value Theorem, generalized Mean Value Theorem and some other auxiliary results for the fractional derivative Ta . Our results coincide with well-known classical results when the operator Ta is of (integer) order a = 1 and the time scale coincides with the set of real numbers.
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/pfda/020406
Recommended Citation
R. Nwaeze, Eze
(2016)
"A Mean Value Theorem for the Conformable Fractional Calculus on Arbitrary Time Scales,"
Progress in Fractional Differentiation & Applications: Vol. 2:
Iss.
4, Article 6.
DOI: http://dx.doi.org/10.18576/pfda/020406
Available at:
https://digitalcommons.aaru.edu.jo/pfda/vol2/iss4/6