On the Fractional Mean Value
Differential Geometry
2016-10-31 v3 Classical Analysis and ODEs
Abstract
This work, dealt with the classical mean value theorem and took advantage of it in the fractional calculus. The concept of a fractional critical point is introduced. Some sufficient conditions for the existence of a critical point is studied and an illustrative example rele- vant to the concept of the time dilation effect is given. The present paper also includes, some connections between convexity (and monotonicity) with fractional derivative in the Riemann-Liouville sense.
Keywords
Cite
@article{arxiv.1412.6310,
title = {On the Fractional Mean Value},
author = {Abdolali Neamaty Hosseinabadi and Mehdi Nategh},
journal= {arXiv preprint arXiv:1412.6310},
year = {2016}
}
Comments
This paper had been withdrawn due to some completion and this is the modified version