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ANALYSIS OF FRACTAL–FRACTIONAL MALARIA TRANSMISSION MODEL

CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico

E-mail Address: jose.ga@cenidet.tecnm.mx

Corresponding authors.

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T. CÓRDOVA-FRAGA

Departamento de Ingeniería Física, División de Ciencias e Ingenierías, Campus León Universidad de Guanauato, C.P. 37150, León, Gto, Mexico

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THABET ABDELJAWAD

Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia

Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Department of Computer Science and Information Engineering, Asia University, Taichung 41354, Taiwan

E-mail Address: tabdeljawad@psu.edu.sa

Corresponding authors.

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AZIZ KHAN

Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia

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, and

HASIB KHAN

Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper 18000, Khyber Pakhtunkhwa, Pakistan

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https://doi.org/10.1142/S0218348X20400411Cited by:64 (Source: Crossref)

This article is part of the issue:

Special Issue on Fractal and Fractional with Applications to Nature
Guest Editors: Abdon Atangana, Emile Franc Goufo Ndongmo, José Francisco Gómez Aguilar, Muhammad Altaf Khan and Ilknur Koca

Abstract

In this paper, the malaria transmission (MT) model under control strategies is considered using the Liouville–Caputo fractional order (FO) derivatives with exponential decay law and power-law. For the solutions we are using an iterative technique involving Laplace transform. We examined the uniqueness and existence (UE) of the solutions by applying the fixed-point theory. Also, fractal–fractional operators that include power-law and exponential decay law are considered. Numerical results of the MT model are obtained for the particular values of the FO derivatives $ς$ and $ρ$ .

Keywords:

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Vol. 28, No. 08

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History

Received 27 December 2019

Accepted 14 February 2020

Published: October 7, 2020

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This is an Open Access article in the “Special Issue on Fractal and Fractional with Applications to Nature” published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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ANALYSIS OF FRACTAL–FRACTIONAL MALARIA TRANSMISSION MODEL

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