The aim of this paper is to study the unsteady korteweg-de vries equation that plays an
important role in describing the shallow water. Two analytical techniques namely the Sardar …

Fractional equations have been paid much attention in recent years. Barycentric
interpolation collocation algorithm (BICA) is proposed to solve the fractional differential …

In this article, a new (2+ 1)‐dimensional local fractional breaking soliton equation is derived
with the local fractional derivative. Applying the traveling wave transform of the non …

This paper investigates a class of the time-fractional diffusion-wave equation (TFDWE),
which incorporates a fractional derivative in the Caputo sense of order α+ 1 where 0< α< 1 …

Purpose The classical integer derivative diffusionmodels for fluid flow within a channel of
parallel walls, for heat transfer within a rectangular fin and for impulsive acceleration of a …

This paper derives a new fractional Fokas system with the aid of the local fractional
derivative. A novel technology named the extended rational fractal sine–cosine method is …

This study investigates the effect of increasing urbanization on the demand for petroleum
products, which are limited natural resources. The study evaluated the use of biodiesel and …

In this article, thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical
wall through homotopy-based scheme along with fractional calculus. Three cases were …

This work deals with the distributed-order time fractional nonlinear diffusion-wave equations.
These equations are generated by replacing the first-and second-order time derivative terms …

The Sharma–Tasso–Olver equation can well describe the wave motion in physics, however,
it becomes ineffective when the boundary is non-smooth, so a modification of the equation is …