Fractional Action Cosmology: Some Dark Energy Models in Emergent, Logamediate and Intermediate Scenarios of the Universe

Abstract

In the framework of Fractional Action Cosmology, we have reconstructed the scalar potentials and scalar fields, namely, quintessence, phantom, tachyon, k-essence, DBI-essence, Hessence, dilaton field and Yang-Mills field. To get more physical picture of the variation of the scalar field and potential with time, we express scale factor in emergent, logamediate and intermediate scenarios, under which the Universe expands differently.

26 pages, 21 figures

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Cited by in corpus (11)

• Multi-scale gravity and cosmology
• Cosmology under the fractional calculus approach
• Conformable Fractional Polytropic Gas Spheres
• Revisiting Fractional Cosmology
• Fractional-order derivatives in cosmological models of accelerated expansion
• Exact solutions and cosmological constraints in fractional cosmology
• Quantum fractionary cosmology: K-essence theory
• Emergence of fractal cosmic space from fractional quantum gravity
• Conformal and Non-Minimal Couplings in Fractional Cosmology
• Phase structure of the $O(2)$ ghost model with higher-order gradient term
• On observational signatures of multi-fractional theory