Retraction: He, J–H, **, X.'A short review on analytical methods for the capillary oscillator in
a nanoscale deformable tube'Math Meth Appl Sci. 2020; 1–8. doi: 10.1002/mma. 6321 The …

Abstract The Kundu–Mukherjee–Naskar equation (KMN) can model the data transmission in
birefringent fibers through molecules or pulses in a few Femto-seconds. A fractional …

The nano/microelectromechanical systems (N/MEMS) have caught much attention in the
past few decades for their attractive properties such as small size (low mass), high reliability …

The pull-in voltage is crucial in designing an optimal nano/micro-electromechanical system
(N/MEMS). It is vital to have a simple formulation to calculate the pull-in voltage with …

In an ancient Chinese book called Huainanzi (淮南子), it records that 阳燧见日则然而为火,
方诸见月则津而为水. Literally, it means that Yangsui (阳燧) produces fire when it sees the …

This paper suggests a fractal mathematical model for Fangzhu's water collection by taking
into account its nanoscale surface morphology. A fractal variational principle is established …

He's frequency–amplitude formulation and its modifications mainly depend upon the
residual calculation. A suitable choice of a residual leads to an ideal result. This paper …

In this research, numerical approximation to fractional Bagley‐Torvik equation as an
important model arising in fluid mechanics is investigated. Our discretization algorithm is …

We propose a new method, namely, the modified harmonic balance method. This paper also
analyses and offers the high-order approximate periodic solutions to the strongly nonlinear …

With the development of chaos theory, Duffing oscillator has been extensively studied in
many fields, especially in electronic signal processing. As a nonlinear oscillator, Duffing …