Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives

Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems ⋮ Stabilisation of stochastic hybrid high-order nonlinear coupled systems by intermittent control ⋮ Restrictions on parameters in distributed order fractional linear constitutive equations

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A new improved Adomian decomposition method and its application to fractional differential equations
Primary resonance of Duffing oscillator with fractional-order derivative
Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method
On the fractional signals and systems
Fractional-order nonlinear systems. Modeling, analysis and simulation
Fractional calculus for scientists and engineers.
Oscillatory region and asymptotic solution of fractional van der Pol oscillator via residue harmonic balance technique
Forward residue harmonic balance for autonomous and non-autonomous systems with fractional derivative damping
Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method
Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method
Fractional-order systems and controls. Fundamentals and applications
An approximate method for numerical solution of fractional differential equations
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
On the homotopy analysis method for nonlinear problems.
Homotopy perturbation method for two dimensional time-fractional wave equation
The homotopy analysis method for solving the time-fractional Fornberg-Whitham equation and comparison with Adomian's decomposition method
A predictor-corrector approach for the numerical solution of fractional differential equations
The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics
Dynamics analysis of the fast-slow hydro-turbine governing system with different time-scale coupling
Approximate expressions of a fractional order Van der Pol oscillator by the residue harmonic balance method
Asymptotic limit cycle of fractional van der Pol oscillator by homotopy analysis method and memory-free principle
A homotopy perturbation method for fractional-order advection-diffusion-reaction boundary-value problems
On the detection of artifacts in harmonic balance solutions of nonlinear oscillators
Stabilizer control design for nonlinear systems based on the hyperbolic modelling
Nonlinear optical and atomic systems. At the interface of physics and mathematics. Based on lecture notes given at the 2013 Painlevé-CEMPI-PhLAM thematic semester.
A finite difference method with non-uniform timesteps for fractional diffusion equations
Asymptotic analytical solutions of the two-degree-of-freedom strongly nonlinear van der Pol oscillators with cubic couple terms using extended homotopy analysis method
Numerical solutions of the initial value problem for fractional differential equations by modification of the Adomian decomposition method
Homotopy Analysis Method in Nonlinear Differential Equations
Beyond Perturbation
Exact solutions of some fractional differential equations arising in mathematical biology
Fractional Calculus
Characteristic Analysis and DSP Realization of Fractional-Order Simplified Lorenz System Based on Adomian Decomposition Method