Purpose The variational principle views a complex problem in an energy way, it gives good
physical understanding of an iteration method, and the variational-based numerical methods …

Purpose The purpose of this paper is to study the dynamical properties of a rotating rigid
body (RB) containing a viscous incompressible fluid. Design/methodology/approach The …

A model describing the transmission dynamics of cholera is considered in this article. The
concerned model is investigated under the Caputo-Fabrizio fractal fractional derivative. The …

In recent years, the fractals (Hausdorff) derivatives with fractional order under various types
kernel have gained attention from researchers. The aforesaid area has many applications in …

A new formulation of Torricelli's law in a fractal space–time continuum is developed to
compute the water discharge in fractal reservoirs. Fractal Torricelli's law is obtained by …

This work aims to investigate the analytical solution of a two-dimensional fuzzy fractional-
ordered heat equation that includes an external diffusion source factor. We develop the Sawi …

This study presents an approximate numerical technique for solving time fractional
advection-diffusion-reaction predator-prey equations with variable order (VO), where the …

The exploration of fractal geometry and fractional calculus aids in comprehending intricate
dynamic behavior, thereby enhancing our understanding of nonlinear dynamical systems …

In this paper, We have developed a variety of new approximate solutions for the nonlinear
fractional generalized Pochhammer-Chree equation (FGPCEs) using the fractional …

A model describing the transmission dynamics of cholera is considered in this article. The
concerned model is investigated under the Caputo-Fabrizio fractal fractional derivative. The …