The Caputo operator has recently gained popularity as a widely used operator in fractional
calculus. The purpose of this current research is to develop a new operator by combining the …

Understanding the flow behavior of non-Newtonian fluids required more research in terms of
various aspects. Because the role of heat transfer in non-Newtonian flows is dominant due …

Abstract Models based on partial differential equations containing time–space fractional
derivatives have attracted considerable interest in the past decade because of their ability to …

Non-Newtonian fluids such as asphalt are widely used in engineering field, but their
application will also cause environmental pollution. This paper investigates the MHD flow of …

The unsteady magnetohydrodynamic flow of viscoelastic fluids through a parallel plate
microchannel under the combined influence of magnetic, electro-osmotic, and pressure …

In this work, a novel two-dimensional (2D) multi-term time-fractional mixed sub-diffusion and
diffusion-wave equation on convex domains will be considered. Different from the general …

This work first establishes an unsteady magnetohydrodynamic (MHD) oscillatory free
convection flow model of the generalized second grade fluid with Hall heat and mass …

The incompressible, steady and laminar fluid boundary flow and heat transfer through a
moving plate subject to a kind of novel constitution relationships containing the relaxation …

The paper proposes a mathematical framework for the use of fractional-order impedance
models to capture fluid mechanics properties in frequency-domain experimental datasets …

Viscoelastic fluids, such as polymers, paints, and DNA suspensions, are almost everywhere
and very useful in the industry. This article aims to study the significance of ramped …