The periodic solution of fractional oscillation equation with periodic input

DOI10.1155/2013/869484zbMath1291.34008OpenAlexW2158189822WikidataQ58918892 ScholiaQ58918892MaRDI QIDQ2248472

Jun-Sheng Duan

Publication date: 26 June 2014

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/869484

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fractional ordinary differential equations (34A08)

Related Items (8)

Numerical analysis of block-by-block method for a class of fractional relaxation-oscillation equations ⋮ Discrete-time fractional order SIR epidemic model with saturated treatment function ⋮ On the relationship between the inhomogeneous wave and Helmholtz equations in a fractional setting ⋮ Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system ⋮ Three classes of fractional oscillators ⋮ Stability and bifurcation analysis in a discrete-time SIR epidemic model with fractional-order ⋮ Similarity solution for fractional diffusion equation ⋮ Capturing multifractality of pressure fluctuations in thermoacoustic systems using fractional-order derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new approach for solving a system of fractional partial differential equations
• Fractional dynamical system and its linearization theorem
• Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions
• Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method
• A fractional characteristic method for solving fractional partial differential equations
• Exact solution of impulse response to a class of fractional oscillators and its stability
• Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
• Dynamical models of happiness with fractional order
• Recent history of fractional calculus
• Approximating ideal filters by systems of fractional order
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• An iterative method for solving nonlinear functional equations
• On the global existence of solutions to a class of fractional differential equations
• Solutions of a fractional oscillator by using differential transform method
• An existence result for a superlinear fractional differential equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems
• Response characteristics of a fractional oscillator
• An algorithm for the numerical solution of nonlinear fractional-order van der Pol oscillator equation
• Eigenvalue problems for fractional ordinary differential equations
• Chaos in a Fractional-Order Dynamical Model of Love and Its Control
• Time- and space-fractional partial differential equations
• The fractional oscillator process with two indices
• Definition of Physically Consistent Damping Laws with Fractional Derivatives

This page was built for publication: The periodic solution of fractional oscillation equation with periodic input