5 papers
Delay Modeling with Conformable and Caputo Derivatives: Analytical and Computational Insights
Yhon Flores, Michel Molina del Sol, Genly Leon +3
This work presents an analytical and computational study of fractional-order delay differential equations formulated using both the conformable and Caputo derivatives. For the conf…
Challenging CDM with Higher-Order GUP Corrections
Andronikos Paliathanasis, Genly Leon, Yoelsy Leyva +2
We study quantum corrections to the CDM model model arising from a minimum measurable length in Heisenberg's uncertainty principle. We focus on a higher-order Generalized Uncer…
Slow-Fast Evolution of Scalar Fields in Higher-Order Cosmological Gravity: Dynamics Inspired by the Pais--Uhlenbeck Oscillator
Manuel Gonzalez-Espinoza, Genly Leon, Yoelsy Leyva +3
We investigate the cosmological dynamics of scalar fields governed by higher-order gravity, with particular emphasis on models inspired by the Pais-Uhlenbeck oscillator--a prototyp…
Classical and quantum cosmology of gravity's rainbow in Schutz's formalism
Andrés Burton-Villalobos, Giovanni Otalora, Manuel Gonzalez-Espinoza +1
We investigate the classical and quantum dynamics of gravity's rainbow in the presence of a perfect fluid, employing Schutz's formalism to establish a well-defined notion of…
Fractional Time-Delayed differential equations: Applications in Cosmological Studies
Bayron Micolta-Riascos, Byron Droguett, Gisel Mattar Marriaga +4
Fractional differential equations model processes with memory effects, providing a realistic perspective on complex systems. We examine time-delayed differential equations, discuss…