We consider the reproducing kernel Hilbert space method to construct numerical solutions
for some basic fractional ordinary differential equations (FODEs) under fractal fractional …

In this paper, a fractional order model of the phytoplankton–toxic phytoplankton–
zooplankton system with Caputo fractional derivative is investigated via three computational …

In the present article, we consider a nonlinear time fractional system of variant Boussinesq-
Burgers equations. Using Lie group analysis, we derive the infinitesimal groups of …

We investigate the limiting behavior of the Riemann solution to the isentropic Euler
equations for logarithmic equation of state with the Coulomb‐like friction term. The formation …

In this article we consider a system of first order quasilinear hyperbolic partial differential
equations (PDEs) governing the one-dimensional macroscopic production model which …

This manuscript aims to deal with the one-dimensional unsteady flow of non-ideal gas with
monochromatic radiation under the influence of a magnetic field, where the invariance …

In this paper, we have considered a very general van der Waals equation of state to study
the one-dimensional motion of magnetogasdynamic (MGD) equations. Transport equations …

In our present work, we analyze the limiting behaviour of solution to the Riemann problem
for a macroscopic production model with van der Waals equation of state. We construct the …

In this manuscript, the propagation of strong shock wave in a non‐ideal gas in the presence
of azimuthal magnetic field with rotational effect is examined by using the Lie group of …

In this paper, we investigate the traffic flow model with congested phase through local and
nonlocal symmetry analysis. Firstly, we derive the Lie group of transformations and show …