# Fractional Exact Solutions and Solitons in Gravity

@article{Baleanu2010FractionalES, title={Fractional Exact Solutions and Solitons in Gravity}, author={Dumitru Baleanu and Sergiu I. Vacaru}, journal={arXiv: Mathematical Physics}, year={2010}, pages={229-236} }

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.

## 2 Citations

### Nonholonomic Clifford and Finsler Structures, Non-Commutative Ricci Flows, and Mathematical Relativity

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- 2012

In this summary of Habilitation Thesis, it is outlined author's 18 years research activity on mathematical physics, geometric methods in particle physics and gravity, modifications and applications…

### On the derivative chain-rules in fractional calculus via fractional difference and their application to systems modelling

- Mathematics
- 2013

It has been pointed out that the derivative chains rules in fractional differential calculus via fractional calculus are not quite satisfactory as far as they can yield different results which depend…

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