In this article, a fractional-order mathematical physics model, advection–dispersion equation
(FADE), will be solved numerically through a new approximative technique. Shifted Vieta …

Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained
introduction to the ideas underpinning wavelet theory and its diverse applications. This book …

The generalized Couette flow of Jeffrey nanofluid through porous medium, subjected to the
oscillating pressure gradient and mixed convection, is numerically simulated using variable …

In this paper, we generalize a one-dimensional fractional diffusion-wave equation to a one-
dimensional variable-order space-time fractional nonlinear diffusion-wave equation (V-OS …

This paper is dedicated to introduce a new category of nonlinear 2D optimal control
problems (OCPs), generated by dynamical systems involved with fractal-fractional …

In this study, we focus on the mathematical model of hyperthermia treatment as one the most
constructive and effective procedures. Considering the sophisticated nature of involving …

The determination of a temperature field within the living tissues and especially during the
thermal therapies requires a comprehensive modeling due to the involved complex heat …

The main goal of this study is to develop an efficient matrix approach for a new class of
nonlinear 2D optimal control problems (OCPs) affected by variable-order fractional …

This paper introduces a new version for the nonlinear Ginzburg–Landau equation derived
from fractal–fractional derivatives and proposes a computational scheme for their numerical …

This article is devoted to developing an accurate operational matrix (OM) method for the
solution of a new category of nonlinear optimal control problems (OCPs) explained by fractal …