The aim of this article was to address the lump, lump-one stripe, multiwave and breather
solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This …

One of the most interesting branches of fractional calculus is the local fractional calculus,
which has been used successfully to describe many fractal problems in science and …

The parasitoid is a broad evolutionary association of hymenopteran insects which are well‐
known as biological control agents. Parasites are different from predators because parasites …

The generalized shallow water wave equation is an important mathematical model that is
used to elaborate ocean engineering, weather simulations, tsunami prediction and tidal …

In the Nidovirales order of the Coronaviridae family, where the coronavirus (crown‐like
spikes on the surface of the virus) causing severe infections like acute lung injury and acute …

In this article, we study an impulsive neutral fractional integro-differential equation (FIDE) via
Atangana-Baleanu fractional derivative. The fixed point approach is employed to prove the …

This work adopts to the time-fractional Klein–Gordon equation (FKGE) in the Caputo sense.
We present a new technique using the clique polynomial as basis function for the …

We propose a new modification of homotopy perturbation method (HPM) called the δ-
homotopy perturbation transform method (δ-HPTM). This modification consists of the …

Fractional order differential equations are utilized for modeling many complicated physical
and natural phenomena in nonlinear sciences and related fields. In this manuscript, the …

The spread of COVID-19 to more than 200 countries has shocked the public. Therefore,
understanding the dynamics of transmission is very important. In this paper, the COVID-19 …