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Cosmological models of a scalar field with dynamical equations containing fractional derivatives or derived from the Einstein-Hilbert action of fractional order, are constructed.
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I. Podlubny. Fractional Differential Equations. - New York - London: Academic Press, 1999
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A.R. El-Nabulsi, A fractional action-like variational approach of some classical, quantum and geometrical dynamics / Int.J. Appl. Math. 17, No 3 (2005), 299-317
2005
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A.R. El-Nabulsi,Differential Geometry and Modern Cosmology with Fractionaly Differentiated Lagrangian Function and Fractional Decaying Force Term/ Rom.Journ. Phys., Vol.52, Nos. 3-4 (2007) pp.467-481
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A.R. El-Nabulsi, Cosmology with a Fractional Action Priciple/ Rom. Report in Phys., Vol.59, No. 3 (2007) pp.763-771
2007
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A.R. El-Nabulsi, Accelerated Expansion of a Closed Universe/ Fizika B (Zagreb), 16
2007
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A.R. El-Nabulsi, Some Fractional Geometrical Aspects of Weak Field Approximation and Schwarzschild Spacetime / Rom.Journ. Phys., Vol.52, Nos. 5-7, 705-715 (2007)
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V.V. Uchaikin. Fractional Derivatives Method.-Ulyanovsk,”Artishok”, 2008 (in russian)
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M.D. Roberts, Fractional Derivative Cosmology/ arXiv: 0909.117 [gr-qc]
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J.Munkhammar, Riemann-Liouville Fractional Einstein Field Equations/ arXiv: 1003.4981 [physics.gen-ph]
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S.I. Vacaru, Fractional Nonholonomic Ricci Flows/arXiv:1004.0625 [math.DG]
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V. Sahni, A. Starobinsky, Reconstrucing Dark Energy/arXiv: 0610026 [astro-ph]
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V.V. Kiselev, Vector field as a quintessence partner/arXiv: 0402095 [gr-qc]
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A.R. El-Nabulsi, Fractional Unstable Euclidean Universe/ EJTP 8 (2005)1-11, EJTP 5 No.17(2008)103- 106
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V.N. Lukash, V.A. Rubakov, Dark Energy: Miths and Reality/UFN (2008), v.178, ¹ 3, pp. 301-308 (in russian)
2008
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A.R. El-Nabulsi, Increasing Effective Gravitational Constant in Fractional ADD Brane Cosmology / EJTP 5
2008
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A.R. El-Nabulsi, Oscillating Flat FRW Dark Enegy Dominated Cosmology from Periodic Functional / Commun. Theor. Phys. (Beijing, China), Vol. 54, No. 1 (2010) pp. 16-20
2010
Closest in time.
V.K. Shchigolev, Fractional-differential cosmological models// Int. Conference ” Modern Problems of Gravitation, Cosmology and Relativistic Astrophysics” (RUDN-2010), 27 June- 3 July 2010, PFUR, Moscow, Russia, p.75
2010
Closest in time.
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