Cosmological Models with Fractional Derivatives and Fractional Action Functional

Abstract

Cosmological models of a scalar field with dynamical equations containing fractional derivatives or derived from the Einstein-Hilbert action of fractional order, are constructed. A number of exact solutions to those equations of fractional cosmological models in both cases is given.

arXiv comment14 pages

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Cited by in corpus (22)

• Prospecting Black Hole Thermodynamics with Fractional Quantum Mechanics
• Multi-scale gravity and cosmology
• Cosmology under the fractional calculus approach
• Testing Fractional Action Cosmology
• Fractional Action Cosmology: Some Dark Energy Models in Emergent, Logamediate and Intermediate Scenarios of the Universe
• Fractional Einstein-Hilbert Action Cosmology
• 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
• Fractional Holographic Dark Energy
• Estimated Age of the Universe in Fractional Cosmology
• Extending Friedmann equations using fractional derivatives using a Last Step Modification technique: the case of a matter dominated accelerated expanding Universe
• Fractional Scalar Field Cosmology
• Emergence of fractal cosmic space from fractional quantum gravity
• Modified Friedmann equations from fractional entropy
• Conformable Fractional Isothermal Gas Spheres
• Conformal and Non-Minimal Couplings in Fractional Cosmology
• Gravitational Foundations and Exact Solutions in $n$-Dimensional Fractional Cosmology
• On observational signatures of multi-fractional theory
• Constraining fractionality using some observational tests
• Cosmology of fractional gravity