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We propose a new type of cosmological model derived from the fractional variational principle when it is applied to the gravitational sector of action functional.
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V.K. Shchigolev, Cosmological Models with Fractional Derivatives and Fractional Action Functional. Commun. Theor. Phys. 56, 389-396 (2011)
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V.K. Shchigolev, Cosmic Evolution in Fractional Action Cosmology// arXiv: 1208.3454v2 [gr-qc]
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