In contrast to fossil fuels, the sun has more than enough energy to supply the entire world's
energy needs. The sole constraint on solar energy as a renewable resource is our capacity …

In the field of heat and mass transfer applications, non-Newtonian fluids are potentially
considered to play a very important role. This study examines the magnetohydrodynamic …

In the fields of numerical analysis and applied science, approximating the roots of nonlinear
equations is a fundamental and intriguing challenge. With the rapid advancement of …

In this paper, we consider a one-dimensional model of blood flow along the compliant
arteries. With the help of the invariant function, we construct and classify the optimal system …

This paper presents a Lie group analysis of the Schamel Burger's equation, notable for
producing shock-type traveling waves in distinctive physical contexts. We determine the …

Cancer progression arises from the accumulation of genetic mutations in cell proliferation
control genes. To efficiently treat these defected cells and restrict their proliferation …

We consider the problem of minimizing a quadratic cost functional, subject to quasilinear
systems of ordinary differential equations. By employing a fixed-point theorem argument, we …

Abstract In this research, the (2+ 1)‐dimensional normal biological population model,
incorporating the Verhulst law for population growth, is employed to explore species …

This article presents and analyzes a mathematical model for smoking-related cancer that
involves fractional-order derivative with seven different compartments. The model uses the …

This paper investigates the neutron diffusion model with two energy groups in spherical
reactors. In particular, the integer-order two energy groups neutron diffusion model in …