paper

Fractional Exact Solutions and Solitons in Gravity

arXiv:1008.0360 · doi:10.1007/978-1-4614-0457-6_19

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.

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, Çankaya University, Ankara, Turkey

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