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ANALYSIS OF DENGUE FEVER OUTBREAK BY GENERALIZED FRACTIONAL DERIVATIVE

Facultad de Ingeniería, Universidad del Desarrollo, Ave. La Plaza 680, San Carlos de Apoquindo, Las Condes, Santiago, Chile

E-mail Address: pbosch@udd.cl

Corresponding author.

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J. F. GÓMEZ-AGUILAR

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

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JOSÉ M. RODRÍGUEZ

Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain

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, and

JOSÉ M. SIGARRETA

Universidad Autónoma de Guerrero, Centro Acapulco CP 39610, Acapulco de Juárez, Guerrero, Mexico

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https://doi.org/10.1142/S0218348X20400381Cited by:7 (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, we use the generalized fractional derivative in order to study the fractional differential equation associated with a fractional Gaussian model. Moreover, we propose new properties of generalized differential and integral operators. As a practical application, we estimate the order of the derivative of the fractional Gaussian models by solving an inverse problem involving real data on the dengue fever outbreak.

Keywords:

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Vol. 28, No. 08

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History

Received 29 December 2019

Accepted 3 March 2020

Published: June 25, 2020

Information

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 DENGUE FEVER OUTBREAK BY GENERALIZED FRACTIONAL DERIVATIVE

Abstract

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