Limit cycle oscillations in a mechanical system under fractional-order liénard type nonlinear feedback

Kundu, Prasanjit Kumar; Chatterjee, Shyamal

doi:10.1016/j.cnsns.2023.107612

Cited by 2 publications

(1 citation statement)

References 32 publications

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“…The extent of their applications covers diverse fields of science and engineering such as Physics, Chemistry, Biology, Biomedical Applications, Ecology, Astrophysics, Mathematical Physics, Plasma Physics, Computation, Simulation and Modeling, Chemical Engineering, Mechanical Engineering, Fluidics, Quantitative Finance as well as Economics and many more. In recent years, FPDEs have demonstrated their applications for aging assessment of Lithium-Iron batteries [1], three-dimensional modeling for eco-epidemiological studies [2], Limit cycle oscillations in a mechanical system [3], thermofluidic flow regime modeling for biomedical application [4]. In [5], FPDEs is used to model the transmission dynamics of (SARS-CoV-2) pandemic.…”

Section: Introductionmentioning

confidence: 99%

A new approach to solve time-fractional Navier–Stokes equation

Sawant,

Deshpande

2024

Phys. Scr.

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This article presents a new technique for the solution of Time Fractional Navier–Stokes equation. The approach is a combination of Adomian decomposition method (ADM) with Kamal integral transform (KIT). The proposed method is implemented on time-fractional Navier–Stokes equation (TFNSEs) to yield the analytical solution. Illustrative examples in TFNSEs are discussed to validate the applicability of the technique. The graphical visualization of the solutions is also presented. Further, the obtained results are compared with the existing solution methods.

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