The area of fractional calculus (FC) has been fast develo** and is presently being applied
in all scientific fields. Therefore, it is of key relevance to assess the present state of …

In this article we review the Adomian decomposition method (ADM) and its modifications
including different modified and parametrized recursion schemes, the multistage ADM for …

Coronaviruses are a large family of viruses that cause different symptoms, from mild cold to
severe respiratory distress, and they can be seen in different types of animals such as …

Classic Newtonian mechanics assumes that space and time are continuous everywhere.
The basic physical quantities (eg speed, acceleration and force) can be described by an …

Mathematical biology is one of the interesting research area of applied mathematics that
describes the accurate description of phenomena in biology and related health issues. The …

The Lotka‐Volterra (LV) system is an interesting mathematical model because of its
significant and wide applications in biological sciences and ecology. A fractional LV model …

Epidemiology is the glorious discipline underlying medical research, public health practice,
and health care evaluation. Nowadays, research on disease models with anonymous …

To answer some issues raised about the concept of fractional differentiation and integration
based on the exponential and Mittag-Leffler laws, we present, in this paper, fundamental …

Mathematical models in epidemiology have been studied in the literature to understand the
mechanism that underlies AIDS-related cancers, providing us with a better insight towards …

This book provides efficient and reliable numerical methods for solving fractional calculus
problems. It focuses on numerical techniques for fractional integrals, derivatives, and …