Juan J. Nieto

ORCID: 0000-0001-8202-6578
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About
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Research Areas
  • Nonlinear Differential Equations Analysis
  • Fractional Differential Equations Solutions
  • Differential Equations and Numerical Methods
  • Differential Equations and Boundary Problems
  • Stability and Controllability of Differential Equations
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Numerical methods for differential equations
  • Fuzzy Systems and Optimization
  • Fixed Point Theorems Analysis
  • Advanced Mathematical Modeling in Engineering
  • COVID-19 epidemiological studies
  • Nonlinear Partial Differential Equations
  • Advanced Differential Equations and Dynamical Systems
  • Optimization and Variational Analysis
  • Iterative Methods for Nonlinear Equations
  • Mathematical functions and polynomials
  • Functional Equations Stability Results
  • Evolution and Genetic Dynamics
  • Robotics and Sensor-Based Localization
  • SARS-CoV-2 and COVID-19 Research
  • Multi-Criteria Decision Making
  • Mathematical Biology Tumor Growth
  • Mathematical Inequalities and Applications
  • Advanced Image and Video Retrieval Techniques
  • Quantum Information and Cryptography

Universidade de Santiago de Compostela
2016-2025

Centro Nacional de Análisis Genómico
2024

Universal Scientific Education and Research Network
2020-2023

Ministerio de Ciencia, Tecnología y Medio Ambiente
2023

Czech Academy of Sciences, Institute of Mathematics
2022

University of Bojnord
2022

Instituto Nacional de Pesca y Acuacultura
2021

Hospital General Universitario Gregorio Marañón
2015-2021

Universidade de Vigo
2014-2021

University of Victoria
2021

10.1016/j.nonrwa.2007.10.022 article EN Nonlinear Analysis Real World Applications 2007-12-05

Ebola is a world health problem and with recent outbreak.There exist different models in the literature to predict its behavior, most of them based on data coming from previous outbreaks or using restricted number persons population variable.This paper deals both classical fractional order SEIR (susceptible, exposed, infections, removed) epidemic model comparison real extracted reports periodically published by World Health Organization (WHO), starting March 27th, 2014.As it has been shown...

10.1186/s13662-015-0613-5 article EN cc-by Advances in Difference Equations 2015-09-07

The numerical approximation of the Caputo–Fabrizio fractional derivative with order between 1 and 2 is proposed in this work. Using transition from ordinary to derivative, we modified RLC circuit model. Crank–Nicolson scheme was used solve We present stability analysis for solving equation some simulations different values derivation.

10.1177/1687814015613758 article EN cc-by Advances in Mechanical Engineering 2015-10-01

A generalized version of fractional models is introduced for the COVID-19 pandemic, including effects isolation and quarantine. First, general structure derivatives integrals discussed; then model defined from which stability results are derived. Meanwhile, a set real clinical observations China considered to determine parameters compute basic reproduction number, i.e., R0≈6.6361. Additionally, an efficient numerical technique applied simulate new provide associated results. Based on these...

10.1016/j.aej.2021.10.030 article EN cc-by-nc-nd Alexandria Engineering Journal 2021-10-22

In this paper, a new mathematical model involving the general form of Caputo fractional derivative is studied for real case cholera outbreak. Fundamental properties including equilibrium points as well basic reproduction number are explored. Also, an efficient approximation scheme on basis product-integration rule established to solve model. Several kernel functions tested, and results compared with data outbreak in Yemen. As consequence, we find special which aforesaid described better,...

10.1016/j.aej.2022.02.054 article EN cc-by-nc-nd Alexandria Engineering Journal 2022-02-28

This paper deals with some existence results for a boundary value problem involving nonlinear integrodifferential equation of fractional order integral conditions. Our are based on contraction mapping principle and Krasnosel'skiĭ's fixed point theorem.

10.1155/2009/708576 article EN cc-by Boundary Value Problems 2009-01-01

We extend some fixed point theorems in $L$-spaces, obtaining extensions of the Banach theorem to partially ordered sets.

10.1090/s0002-9939-07-08729-1 article EN public-domain Proceedings of the American Mathematical Society 2007-03-21

The purpose of this paper is to present a general view the current applications fuzzy logic in medicine and bioinformatics. We particularly review medical literature using logic. then recall geometrical interpretation sets as points hypercube two concrete illustrations (drug addictions) bioinformatics (comparison genomes).

10.1155/jbb/2006/91908 article EN cc-by BioMed Research International 2006-01-01

10.1016/j.jmaa.2005.04.005 article EN Journal of Mathematical Analysis and Applications 2006-03-23
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