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  • Article
  • Open Access
41 Citations
2,235 Views
16 Pages

A New Incommensurate Fractional-Order COVID 19: Modelling and Dynamical Analysis

  • Abdallah Al-Husban,
  • Noureddine Djenina,
  • Rania Saadeh,
  • Adel Ouannas and
  • Giuseppe Grassi

20 January 2023

Nowadays, a lot of research papers are concentrating on the diffusion dynamics of infectious diseases, especially the most recent one: COVID-19. The primary goal of this work is to explore the stability analysis of a new version of the SEIR model for...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
53 Citations
4,751 Views
16 Pages

A Novel Fractional-Order Discrete SIR Model for Predicting COVID-19 Behavior

  • Noureddine Djenina,
  • Adel Ouannas,
  • Iqbal M. Batiha,
  • Giuseppe Grassi and ,
  • Taki-Eddine Oussaeif and
  • Shaher Momani
  • + 1 author+ 0 author

25 June 2022

During the broadcast of Coronavirus across the globe, many mathematicians made several mathematical models. This was, of course, in order to understand the forecast and behavior of this epidemic’s spread precisely. Nevertheless, due to the lack...

(This article belongs to the Special Issue Q-differential/Difference Equations and Related Applications)
  • Article
  • Open Access
4 Citations
2,647 Views
25 Pages

6 December 2023

The main objective of this study is to determine the existence and uniqueness of solutions to the fractional Black–Scholes equation. The solution to the fractional Black–Scholes equation is expressed as an infinite series of converging Mi...

(This article belongs to the Special Issue Fractional Differential Equations: Theory and Application)
  • Article
  • Open Access
16 Citations
2,018 Views
16 Pages

Recent years have seen an increase in scientific interest in the El Nio/La Nia Southern Oscillation (ENSO), a quasiperiodic climate phenomenon that takes place throughout the tropical Pacific Ocean over five years and causes significant harm. It is a...

  • Article
  • Open Access
49 Citations
5,421 Views
26 Pages

8 June 2021

In this paper, a nonlinear fractional order model of COVID-19 is approximated. For this aim, at first we apply the Caputo–Fabrizio fractional derivative to model the usual form of the phenomenon. In order to show the existence of a solution, the Bana...

(This article belongs to the Special Issue Mathematical Modeling and Analysis in Biology and Medicine)