Fractional Exact Solutions and Solitons in Gravity
Mathematical Physics
2012-03-13 v1 math.MP
Abstract
We survay our recent results on fractional gravity theory. It is also provided the Main Theorem on encoding of geometric data (metrics and connections in gravity and geometric mechanics) into solitonic hierarchies. Our approach is based on Caputo fractional derivative and nonlinear connection formalism.
Keywords
Cite
@article{arxiv.1008.0360,
title = {Fractional Exact Solutions and Solitons in Gravity},
author = {Dumitru Baleanu and Sergiu I. Vacaru},
journal= {arXiv preprint arXiv:1008.0360},
year = {2012}
}
Comments
latex2e, 11pt, 10 pages with table of content; a summary of our talk at Conference "New Trends in Nanotechnology and Nonlinear Dynamical Systems", 25--27 July, 2010, \c{C}ankaya University, Ankara, Turkey