On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives
type: Item
instance of: scholarly article
title: On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives
author: Mohamed Houas
author: M. E. Samei
author: S. S. Santra
author: J. O. Alzabut
published in: Journal of Inequalities and Applications
publication date: 2024-05-07T00:00:00Z
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 7844026
MaRDI profile type: Publication
cites work: Transformation theory of the q-oscillator
cites work: Symmetries of the \(q\)-difference heat equation
cites work: On a \(q\)-sequence that generalizes the median Genocchi numbers.
cites work: Applying quantum calculus for the existence of solution of \(q\)-integro-differential equations with three criteria
cites work: Existence of positive solutions for two-point boundary value problems of nonlinear fractional \(q\)-difference equation
cites work: New approach to solutions of a class of singular fractional \(q\)-differential problem via quantum calculus
cites work: Exponential and Hyers-Ulam stability of impulsive linear system of first order
cites work: Existence and Mittag-Leffler-Ulam-stability results for Duffing type problem involving sequential fractional derivatives
cites work: Existence and Ulam stability for implicit fractional \(q\)-difference equations
cites work: Q5208410
cites work: Hyers-Ulam stability for a coupled system of fractional differential equation with \(p\)-Laplacian operator having integral boundary conditions
cites work: On two structures of the fractional q‐sequential integro‐differential boundary value problems
cites work: Solution of fractional differential equations in quasi-\(b\)-metric and \(b\)-metric-like spaces
cites work: Rate of decay of stable periodic solutions of Duffing equations
cites work: On the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type
cites work: Chaos detection of Duffing system with fractional-order derivative by Melnikov method
cites work: Numerical solution of full fractional Duffing equations with cubic-quintic-heptic nonlinearities
cites work: Q5049862
cites work: Analysis of \(( \alpha, \beta )\)-order coupled implicit Caputo fractional differential equations using topological degree method
cites work: Stability analysis of implicit fractional differential equation with anti-periodic integral boundary value problem
cites work: Q5074750
cites work: Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales
cites work: \(q\)-fractional calculus and equations
cites work: Q3520967
cites work: Q3862642
Wikidata QID: Q129358255
DOI: 10.1186/S13660-024-03093-6
description: scientific article; zbMATH DE number 7844026