Khalid Hattaf – de nouvelles recherches associées

[HTML] Global stability of a general HTLV-I infection model with Cytotoxic T-Lymphocyte immune response and mitotic transmission

AM Elaiw, AS Shflot, AD Hobiny – Alexandria Engineering Journal, 2022

Mathematical models have been considered as a robust tool to support biological and medical studies of human viral infections. The global stability of viral infection models remains an important and largely open research problem. Such results are …


[HTML]
 Certain Weighted Fractional Inequalities via the Caputo–Fabrizio Approach

VL Chinchane, AB Nale, SK Panchal, C Chesneau – Fractal and Fractional, 2022

The Caputo–Fabrizio fractional integral operator is one of the important notions of fractional calculus. It is involved in numerous illustrative and practical issues. The main goal of this paper is to investigate weighted fractional integral inequalities using …

Global stability of a rumor spreading model with discontinuous control strategies

H Zhu, X Zhang, Q An – Physica A: Statistical Mechanics and its Applications, 2022

With the rapid development of online media in recent years, rumors have also proliferated and spread. If they are not effectively managed, they will cause great harm to society. So, how to stop the spread of rumors has become a hot topic that …


[HTML]
 Analysis of the fractional polio model with the Mittag-Leffler kernels

N Ahmed, A Akgül, AM Satti, Z Iqbal, A Raza, M Rafiq… – Alexandria Engineering …, 2022

This article investigates the transmission of polio-virus disease in the human population. The classical model is considered for studying fatal disease. First of all, the model is converted into the fractal fractional epidemic model. Then, the existence …


[HTML]
 Fractional study of a novel hyper-chaotic model involving single non-linearity

M Partohaghighi, P Veeresha, A Akgül, M Inc, MB Riaz – Results in Physics, 2022

The applications of hyperchaotic systems (HCSs) can be widely seen in diverse fields associated with engineering due to their complicated dynamics, randomness, and high delicacy and sensibility. In the present work, we aim to investigate a new …

[PDF] ON EXISTENCE AND STABILITY RESULTS FOR PANTOGRAPH FRACTIONAL BOUNDARY VALUE PROBLEMS

H ALRABAIAH, G ALI, A ALI, K SHAH, T ABDELJAWAD – Fractals, 2022

In this paper, we investigated some essential provisions for the existence and stability of the solution to integral boundary value problems with proportional delay of fractional order Atangana–Baleanu–Caputo (ABC) derivative. By the guidance of …


[PDF]
 STUDY OF COUPLED SYSTEM OF FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS VIA THE PRIOR ESTIMATE METHOD

A ALI, M SARWAR, K SHAH, T ABDELJAWAD – Fractals, 2022

The purpose of this paper is to establish some sufficient conditions needed for the existence and uniqueness of solutions to the coupled system of fractional hybrid differential equations (FHDEs). We make use of the prior estimate method to support …

Analysis of a nonlinear fractional system for Zika virus dynamics with sexual transmission route under generalized Caputo-type derivative

J Alzabut – 2022

This paper establishes a mathematical model of the Zika virus infection with the sexual transmission route under the generalized Caputo-type fractional derivative. The model consists of a system of eleven nonlinear fractional differential equations …

Cours

Classes

Certificats

Parcours