The new coronavirus disease is still a major panic for people all over the world. The world is
grappling with the second wave of this new pandemic. Different approaches are taken into …

Under investigations were several coupled time–space fractional integrable equations
which are called the (1+ 1)-dimensional KdV-type equations, the (2+ 1)-dimensional Burgers …

In this work, we present a second-order nonuniform time-stepping scheme for the time-
fractional Allen-Cahn equation. We show that the proposed scheme preserves the discrete …

The trajectory of fractional calculus has undergone several periods of intensive
development, both in pure and applied sciences. During the last few decades fractional …

Electron-positron-ion plasmas are found in the primordial Universe, active galactic nuclei,
surroundings of black holes and peripheries of neutron stars. We focus our attention on a …

The present paper aims to investigate the coupled nonlinear Schrödinger equation in
magneto-optic waveguides having anti-cubic (AC) law nonlinearity. The solitons secured to …

In this paper, we studied the time fractional generalized (2+ 1)-dimensional Zakharov–
Kuznetsov (ZK) equation with single-power law nonlinearity, which can be used to describe …

This paper systematically investigates the exact solutions to an extended (2+ 1)-dimensional
Boussinesq equation, which arises in several physical applications, including the …

In this study, we present the Pneumococcal Pneumonia infection model using fractional
order derivatives in the Caputo-Fabrizio sense. We use fixed-point theory to prove the …

In this work, we investigate the Lie symmetry analysis, exact solutions and conservation laws
(Cls) to the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGDK) equation with …