The global impact of corona virus (COVID-19) has been profound, and the public health
threat it represents is the most serious seen in a respiratory virus since the 1918 influenza A …

A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …

“God made the integers; all else is the work of man” 1. For centuries, the ancients were
satisfied with using natural numbers called simply “numbers”. What we call irrational …

Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …

This monograph provides the most recent and up-to-date developments on fractional
differential and fractional integro-differential equations involving many different potentially …

In this paper, we consider the numerical resolution of a time-fractional diffusion equation,
which is obtained from the standard diffusion equation by replacing the first-order time …

This paper investigates chaotic behavior and stability of fractional differential equations
within a new generalized Caputo derivative. A semi–analytical method is proposed based …

In this paper, we consider the numerical solution of the time fractional diffusion equation.
Essentially, the time fractional diffusion equation differs from the standard diffusion equation …

The aim of this paper is to develop high-order methods for solving time-fractional partial
differential equations. The proposed high-order method is based on high-order finite …

We develop the finite element method for the numerical resolution of the space and time
fractional Fokker–Planck equation, which is an effective tool for describing a process with …