A cosmology governed by a fractional differential equation and the generalized Kilbas-Saigo-Mittag-Leffler function

DOI10.1007/s10773-015-2700-5zbMath1336.83049OpenAlexW572336807WikidataQ115383760 ScholiaQ115383760MaRDI QIDQ264667

Ahmad Rami El-Nabulsi

Publication date: 1 April 2016

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-015-2700-5

zbMATH Keywords

Mittag-Leffler functiondark energyfractional differential equationFRW cosmologygeneralized Kilbas-Saigo-Mittag-Leffler function

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Mittag-Leffler functions and generalizations (33E12) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Fractional ordinary differential equations (34A08)

Related Items (10)

Lie symmetry analysis and exact solution of certain fractional ordinary differential equations ⋮ Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws ⋮ Non-Markovian process with variable memory functions ⋮ Robertson-Walker model universe interacting with electromagnetic field and Brans-Dicke field in presence of hybrid scale factor ⋮ Whether Lyra's manifold itself is a hidden source of dark energy ⋮ Fractional action cosmology with variable order parameter ⋮ Bianchi type-III cosmological model with quadratic EoS in Lyra geometry ⋮ Time fractional (2+1)-dimensional Wu-Zhang system: dispersion analysis, similarity reductions, conservation laws, and exact solutions ⋮ On fractional and fractal Einstein’s field equations ⋮ Generalised Backward Differentiation Formulae for Fractional Differential Equation

Cites Work

• Unnamed Item
• Unnamed Item
• Fractional action cosmology: emergent, logamediate, intermediate, power law scenarios of the universe and generalized second law of thermodynamics
• Mittag-Leffler functions and their applications
• A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations
• Phase transition in Schwarzschild-de Sitter spacetime
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Unification of dark matter and dark energy: the inhomogeneous Chaplygin gas
• Repulsive gravity in the very early universe.
• FRW and Bianchi type I cosmology of f-essence
• Gravitons in fractional action cosmology
• Observational constraints on models of the universe with time variable gravitational and cosmological constants along MOG
• On the consistency of a repulsive gravity phase in the early Universe
• A Riccati equation based approach to isotropic scalar field cosmologies
• Scalar field cosmology: I. Asymptotic freedom and the initial-value problem
• Cosmological Models with Fractional Derivatives and Fractional Action Functional
• Cosmological reconstruction of f(T, 𝒯) gravity
• LATE TIME FAILURE OF FRIEDMANN EQUATION
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• DARK ENERGY MODELS WITH A TIME-DEPENDENT GRAVITATIONAL CONSTANT
• CYLINDRICAL SOLUTIONS IN MODIFIED f(T) GRAVITY
• THEORETICAL MODELS OF DARK ENERGY
• Cosmic Evolution in Fractional Action Cosmology
• Fractional Calculus
• A remark on Brans-Dicke cosmological dust solutions with negative \(\omega\)

This page was built for publication: A cosmology governed by a fractional differential equation and the generalized Kilbas-Saigo-Mittag-Leffler function