This study investigates the flow dynamics of magnetohydrodynamic Burgers' fluid induced
by a stretching cylinder, emphasizing the effects of internal heat generation and absorption …

Long wave equations are an important class of equations in oceanographic engineering.
Engineers could have insight in to the behavior of complex systems by fractional …

This investigation explores the analytical solutions to the time-fractional multi-dimensional
Navier–Stokes (NS) problem using advanced approaches, namely the Aboodh residual …

Purpose This study aims to explore a novel model that integrates the Kairat-II equation and
Kairat-X equation (K-XE), denoted as the Kairat-II-X (K-II-X) equation. This model …

Understanding natural processes often involves intricate nonlinear dynamics. Nonlinear
evolution equations are crucial for examining the behavior and possible solutions of specific …

This study explores the application of advanced mathematical techniques to solve fractional
differential equations, focusing particularly on the fractional diffusion equation. The fractional …

In this research study, we focus on the generalized regularized long wave equation and the
modified regularized long wave equation, which play pivotal roles in characterizing plasma …

In this study, we applied the Riccati-Bernoulli sub-ODE method and Bäcklund transformation
to analyze the time-space fractional Oskolkov equation for kink solutions by matching the …

The Riemann waves in two spatial dimensions are described by the fractional Calogero-
Bogoyavlenskii-Schiff equation, which has been used to explain numerous physical …

Within the framework of time fractional calculus using the Caputo operator, the Aboodh
residual power series method and the Aboodh transform iterative method were implemented …