RUBENS DE FIGUEIREDO CAMARGO
@fc.unesp.br
Professor
Unesp
RESEARCH, TEACHING, or OTHER INTERESTS
Applied Mathematics
Scopus Publications
- A COMPUTATIONAL AND FRACTIONAL MATHEMATICAL MODEL FOR ASSESSING HEPATITIS B WITH OPTIMAL THERAPY
LISLAINE C. CARDOSO, PAULO F. TORO, RUBENS F. CAMARGO, FERNANDO L. P. SANTOS
Journal of Biological Systems, 2024
This paper presents a mathematical study applied to Hepatitis B disease utilizing fractional calculus and numerical methods. We begin by discussing mathematical fundamentals, focusing on fractional calculus concepts and relevant numerical aspects for disease modeling. We then formulate the problem, describing a nonlinear fractional differential system that models hepatitis B virus (HBV) infection and its response to drug therapy. A detailed theoretical analysis explores system properties and biological implications. We provide a qualitative analysis of the model, discussing important dynamic behaviors such as stability and parameter sensitivity. Subsequently, numerical analysis is performed to validate the model and estimate unknown parameters from patient data. Our findings include significant insights into biological parameters and their impact on therapeutic response. We conclude that the proposed fractional-order model is effective, offering optimal therapeutic strategies for hepatitis B. - A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies
V.M. Martinez, A.N. Barbosa, P.F.A. Mancera, D.S. Rodrigues, R.F. Camargo
Chaos Solitons and Fractals, 2021 - Pseudo-fractional differential equations and generalized g-Laplace transform
J. Vanterler da C. Sousa, Rubens F. Camargo, E. Capelas de Oliveira, Gastáo S. F. Frederico
Journal of Pseudo Differential Operators and Applications, 2021 - Global stability analysis of a fractional differential system in hepatitis B
Lislaine Cristina Cardoso, Rubens Figueiredo Camargo, Fernando Luiz Pio dos Santos, José Paulo Carvalho Dos Santos
Chaos Solitons and Fractals, 2021 - Stability analysis of a fractional virotherapy model for cancer treatment
Robinson Tavoni, Paulo F. A. Mancera, Rubens F. Camargo
Revista Colombiana De Matematicas, 2021
This paper presents a stability analysis of a differential equations model related to the cancer treatment with an oncolytic virus in its classical and fractional version via Caputo derivatives. Numerical simulations of three possible scenarios are presented and support the discussions on the advantages of using fractional modeling. - Stability analysis and numerical simulations via fractional calculus for tumor dormancy models
Jairo G. Silva, Aiara C.O. Ribeiro, Rubens F. Camargo, Paulo F.A. Mancera, Fernando L.P. Santos
Communications in Nonlinear Science and Numerical Simulation, 2019 - Analysis of fractional-order models for hepatitis B
L. C. Cardoso, F. L. P. Dos Santos, R. F. Camargo
Computational and Applied Mathematics, 2018 - On some fractional green's functions
R. Figueiredo Camargo, R. Charnet, E. Capelas de Oliveira
Journal of Mathematical Physics, 2009
In this paper we discuss some fractional Green’s functions associated with the fractional differential equations which appear in several fields of science, more precisely, the so-called wave reaction-diffusion equation and some of its particular cases. The methodology presented is the juxtaposition of integral transforms, in particular, the Laplace and the Fourier integral transforms. Some recent results involving the reaction-diffusion equation are pointed out. - Solution of the fractional Langevin equation and the Mittag-Leffler functions
R. Figueiredo Camargo, Ary O. Chiacchio, R. Charnet, E. Capelas de Oliveira
Journal of Mathematical Physics, 2009
We introduce the fractional generalized Langevin equation in the absence of a deterministic field, with two deterministic conditions for a particle with unitary mass, i.e., an initial condition and an initial velocity are considered. For a particular correlation function, that characterizes the physical process, and using the methodology of the Laplace transform, we obtain the solution in terms of the three-parameter Mittag–Leffler function. As particular cases, some recent results are also presented.
RECENT SCHOLAR PUBLICATIONS
- Modelagem Matemática de Câncer com Combinação de Radioterapia e Viroterapia
WSF Júnior, PFA Mancera, RF Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2026
2026 - Análise Matemática e Tratamento Ótimo em Câncer via Modelo Fracionário
MP Melo, RF Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2026
2026 - Dinâmica fracionária de uma partícula carregada sobre um campo eletromagnético
TM Marchesin, R de Figueiredo Camargo
CQD-Revista Eletrônica Paulista de Matemática, e26012-e26012 , 2025
2025 - Modelo SIR fracionário: uma aplicação para a Hepatite A
LC Cardoso, FLP dos Santos, R de Figueiredo Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2025
2025 - Um estudo das propriedades do oscilador harmônico fracionário
TM Marchesin, RF Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2025
2025 - Oscilador harmônico fracionário x Movimento resistivo
TM Marchesin, DM De Souza, RF Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2025
2025 - Fractional model in dengue with real data
MM Theodoro, G Rodrigues, FLP Santos, RF Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2025
2025
Citations: 1 - Equações fracionárias: métodos analíticos e numéricos
R de Figueiredo Camargo, EC de Oliveira, NZ Monteiro
Sociedade Brasileira de Matemática , 2025
2025 - A computational and fractional mathematical model for assessing hepatitis b with optimal therapy
LC Cardoso, PF Toro, RF Camargo, FLP Santos
Journal of Biological Systems 32 (03), 1203-1223 , 2024
2024
Citations: 1 - Análise de Estabilidade e Simulações Numéricas para um Modelo de Viroterapia Oncolítica usando Cálculo Fracionário
RA de Araújo, PF de Arruda Mancera, R de Figueiredo Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2023
2023 - Equações Diferenciais Fracionárias com Ajuste Dimensional
MP de Melo, NZ Monteiro, EC de Oliveira, R de Figueiredo Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2023
2023
Citations: 1 - Análise de sensibilidade dos parâmetros de um modelo matemático em Dengue para generalização fracionária
MM Theodoro, G Rodrigues, MM Costa, FLP Santos, PFA Mancera, ...
Proceeding Series of the Brazilian Society of Computational and Applied … , 2023
2023 - Modelagem Farmacocinética via Equações Diferenciais Fracionárias
MP de Melo, R de Figueiredo Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2023
2023 - Investigações Numéricas de um modelo matemático de ordem fracionária para proliferação e exaustão de células CAR-T
RA de Araújo, PF de Arruda Mancera, R de Figueiredo Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2022
2022 - Análise de Modelos Matemáticos de Câncer de Mama via Cálculo de Ordem Não Inteira
EA Sasaki, PF de Arruda Mancera, RF Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2022
2022 - Modelagem Fracionária: Estudo da dinâmica do crescimento tumoral por meio da Equação Logística
MR Maciel, RF Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2022
2022
Citations: 1 - Uma Abordagem para a Interpretação Física e Geométrica da Integral e da Derivada Fracionárias
MP de Melo, R de Figueiredo Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2022
2022 - Cálculo fracionário aplicado ao modelo predador-presa de Lotka-Volterra
WSF Júnior, R de Figueiredo Camargo
Proceeding Series of the Brazilian Society of Computational and Applied … , 2022
2022 - Fractional modeling of COVID-19 dynamics
MM Theodoro, TN Vilches, R de Figueiredo Camargo, ...
CQD-Revista Eletrônica Paulista de Matemática , 2022
2022 - A construction of nonstandard finite difference scheme to fractional differential system
LC Cardoso, FLP dos Santos, R de Figueiredo Camargo
CQD-Revista Eletrônica Paulista de Matemática , 2022
2022
Citations: 1
MOST CITED SCHOLAR PUBLICATIONS
- Differentiation to fractional orders and the fractional telegraph equation
R Figueiredo Camargo, AO Chiacchio, E Capelas de Oliveira
Journal of Mathematical Physics 49 (3) , 2008
2008
Citations: 101 - Cálculo fracionário
RF Camargo, EC Oliveira
Livraria da Fısica, Sao Paulo, 33 , 2015
2015
Citations: 98 - Analysis of fractional-order models for hepatitis B
LC Cardoso, FLP Dos Santos, RF Camargo
Computational and Applied Mathematics 37 (4), 4570-4586 , 2018
2018
Citations: 84 - On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
R Figueiredo Camargo, E Capelas de Oliveira, J Vaz
Journal of mathematical physics 50 (12) , 2009
2009
Citations: 72 - Solution of the fractional Langevin equation and the Mittag–Leffler functions
RF Camargo, AO Chiacchio, R Charnet, E Capelas de Oliveira
Journal of mathematical physics 50 (6) , 2009
2009
Citations: 68 - On the generalized Mittag-Leffler function and its application in a fractional telegraph equation
RF Camargo, EC de Oliveira, J Vaz Jr
Mathematical Physics, Analysis and Geometry 15 (1), 1-16 , 2012
2012
Citations: 62 - Cálculo fracionário e aplicaçoes
RF Camargo
Campinas: IMECC-UNICAMP , 2009
2009
Citations: 56 - Theorem for series in three-parameter Mittag-Leffler function
A Soubhia, R Camargo, E Oliveira, J Vaz
Fractional Calculus and Applied Analysis 13 (1), 9p-20p , 2010
2010
Citations: 50 - Unexpected behavior of Caputo fractional derivative
LKB Kuroda, AV Gomes, R Tavoni, PF de Arruda Mancera, N Varalta, ...
Computational and Applied Mathematics 36 (3), 1173-1183 , 2017
2017
Citations: 49 - A prelude to the fractional calculus applied to tumor dynamic
N Varalta, AV Gomes, RF Camargo
TEMA (São Carlos) 15, 211-221 , 2014
2014
Citations: 49 - On some fractional Green’s functions
RF Camargo, R Charnet, E Capelas de Oliveira
Journal of Mathematical Physics 50 (4) , 2009
2009
Citations: 43 - Global stability analysis of a fractional differential system in hepatitis B
LC Cardoso, RF Camargo, FLP dos Santos, JPC Dos Santos
Chaos, Solitons & Fractals 143, 110619 , 2021
2021
Citations: 34 - Fractional calculus
RF Camargo, EC de Oliveira
Editora Livraria da Fısica, Sao Paulo , 2015
2015
Citations: 30 - Stability analysis and numerical simulations via fractional calculus for tumor dormancy models
JG Silva, ACO Ribeiro, RF Camargo, PFA Mancera, FLP Santos
Communications in Nonlinear Science and Numerical Simulation 72, 528-543 , 2019
2019
Citations: 22 - Cálculo fracionário e as funções de Mittag-Leffler
GS Teodoro
[sn] , 2014
2014
Citations: 13 - Do teorema de Cauchy ao método de Cagniard
RF Camargo
IMECC UNICAMP , 2005
2005
Citations: 12 - Verificação da usinabilidade dos aços inoxidáveis austeníticos através do processo de furação
R Camargo
Campinas, SP: UNIVERSIDADE ESTADUAL DE CAMPINAS , 2008
2008
Citations: 11 - A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies
VM Martinez, AN Barbosa, PFA Mancera, DS Rodrigues, RF Camargo
Chaos, Solitons & Fractals 152, 111398 , 2021
2021
Citations: 10 - Cálculo fracionário, editora livraria da fısica
RF Camargo, EC de Oliveira
Sao Paulo, Brasil , 2015
2015
Citations: 10 - Trichoderma harzianum no desenvolvimento e na proteção de mudas contra a fusariose do tomateiro
LZ Ethur, E Blume, MFB Muniz, RF Camargo, MGV Flores, JLG da Cruz, ...
Ciência e Natura 30 (2), 57-69 , 2008
2008
Citations: 10
