New Derivatives on Fractal Subset of Real-line
Classical Analysis and ODEs
2016-04-20 v1 Mathematical Physics
math.MP
Abstract
In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta functions were defined on the fractal sets. The non-local Laplace transformation is given and applied for solving linear and non-linear fractal equations. The advantage of using these new nonlocal derivatives on fractals subset of real-line lies in the fact that they are used for better modelling of processes with memory effect.
Keywords
Cite
@article{arxiv.1601.06121,
title = {New Derivatives on Fractal Subset of Real-line},
author = {Alireza Khalili Golmankhaneh and Dumitru Baleanu},
journal= {arXiv preprint arXiv:1601.06121},
year = {2016}
}