Fractional Exact Solutions and Solitons in Gravity

Physics – Mathematical Physics

Scientific paper

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latex2e, 11pt, 10 pages with table of content; a summary of our talk at Conference "New Trends in Nanotechnology and Nonlinear

Scientific paper

10.1007/978-1-4614-0457-6_19

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.

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