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 …

Retraction: He, J–H, Jin, 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 …

Multi-term variable-order fractional differential equations (VO-FDEs) are considered to be
one of the tools to illustrate the behavior of transient-regime real-life phenomena precisely …

Coronaviruses are a group of RNA (ribonucleic acid) viruses with the capacity for rapid
mutation and recombination. Coronaviruses are known to cause respiratory or intestinal …

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 paper, two problems involving nonlinear time fractional hyperbolic partial differential
equations (PDEs) and time fractional pseudo hyperbolic PDEs with nonlocal conditions are …

This study investigates the exact solutions of the time-fractional (3+ 1)-dimensional
combined Korteweg–de Vries Benjamin–Bona–Mahony (KdV-BBM) equation. The …

In this article, a wavelet method is introduced for solving Caputo–Hadamard fractional
differential equations on an arbitrary interval. The proposed method is the fractional‐order …

In this research, we used the Riccati equation approach to establish new exact solution sets
for a new (3+ 1)-dimensional Korteweg–de Vries (KdV) equation, which is an enlarged …

Purpose The main aim of the paper is to introduce the shifted fractional-order Gegenbauer
wavelets (SFGWs) and the development of a method for solving fractional nonlinear initial …