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 …

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 …

Laser technology has been widely used in biomedical therapies and external surgeries. To
promote its applications, a good thermal model is required to analyze the temperature …

In this paper, we develop an efficient finite difference/spectral method to solve a coupled
system of nonlinear multi-term time-space fractional diffusion equations. In general, the …

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

In this paper, we consider the application of the finite difference method for a class of novel
multi-term time fractional viscoelastic non-Newtonian fluid models. An important contribution …

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 …

Background Magnetohydrodynamic (MHD) stagnation point flow of Oldroyd-B nanoliquid is
discussed in presence of Cattaneo-Christov mass and heat fluxes. Impacts of Brownian …

Jeffreys equation provides an increasingly popular extension of the diffusive laws of Fourier
and Fick for heat and particle transport. Similar to generalisations of the diffusion equation …

A novel distributed order time fractional model is constructed to solve heat conduction,
anomalous diffusion and viscoelastic flow problems. Solutions of the formulated governing …