Existence and stability of solutions for linear and nonlinear damping of \(q\)-fractional Duffing-Rayleigh problem

DOI10.1007/s00009-023-02355-9OpenAlexW4322769010MaRDI QIDQ2687664

Mohammad Esmael Samei, Mohamed Houas

Publication date: 7 March 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-023-02355-9

zbMATH Keywords

existenceuniquenessUlam-Hyers stabilityfractional \(q\)-calculusDuffing-Rayleigh equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Invariant manifolds for ordinary differential equations (34C45) Systems of functional equations and inequalities (39B72)

Cites Work

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• Effect of nonlinear dissipation on the basin boundaries of a driven two-well Rayleigh-Duffing oscillator
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• The unique solution for a fractional \(q\)-difference equation with three-point boundary conditions
• The spectral problem for the \(q\)-Knizhnik-Zamolodchikov equation and continuous \(q\)-Jacobi polynomials
• Fractional modified Duffing-Rayleigh system and its synchronization
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• On multi-step methods for singular fractional \(q\)-integro-differential equations
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• On the existence of solutions for a multi-singular pointwise defined fractional \(q\)-integro-differential equation
• Numerical solution of full fractional Duffing equations with cubic-quintic-heptic nonlinearities
• New approach to solutions of a class of singular fractional \(q\)-differential problem via quantum calculus
• Applying quantum calculus for the existence of solution of \(q\)-integro-differential equations with three criteria
• Switching-mode counterparts of the Rayleigh and Van-der-Pol oscillators
• Transformation theory of the q-oscillator
• On two structures of the fractional q‐sequential integro‐differential boundary value problems

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