On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives

DOI10.1186/S13660-024-03093-6WikidataQ129358255 ScholiaQ129358255MaRDI QIDQ6498670

Shyam Sundar Santra, Mohammad Esmael Samei, Mohamed Houas, Jehad O. Alzabut

Publication date: 7 May 2024

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Cites Work

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• \(q\)-fractional calculus and equations
• Rate of decay of stable periodic solutions of Duffing equations
• Symmetries of the \(q\)-difference heat equation
• Existence of positive solutions for two-point boundary value problems of nonlinear fractional \(q\)-difference equation
• Solution of fractional differential equations in quasi-\(b\)-metric and \(b\)-metric-like spaces
• Numerical solution of full fractional Duffing equations with cubic-quintic-heptic nonlinearities
• Existence and Ulam stability for implicit fractional \(q\)-difference equations
• New approach to solutions of a class of singular fractional \(q\)-differential problem via quantum calculus
• Hyers-Ulam stability for a coupled system of fractional differential equation with \(p\)-Laplacian operator having integral boundary conditions
• Existence and Mittag-Leffler-Ulam-stability results for Duffing type problem involving sequential fractional derivatives
• Applying quantum calculus for the existence of solution of \(q\)-integro-differential equations with three criteria
• Analysis of \(( \alpha, \beta )\)-order coupled implicit Caputo fractional differential equations using topological degree method
• On the Existence of Stable Periodic Solutions of Differential Equations of Duffing Type
• Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales
• Transformation theory of the q-oscillator
• Chaos detection of Duffing system with fractional-order derivative by Melnikov method
• On two structures of the fractional q‐sequential integro‐differential boundary value problems
• Stability analysis of implicit fractional differential equation with anti-periodic integral boundary value problem
• Exponential and Hyers-Ulam stability of impulsive linear system of first order

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