Search Results - "Carvalho de Barros, Laécio"

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  1. 1

    Calculus for linearly correlated fuzzy function using Fréchet derivative and Riemann integral by Santo Pedro, Francielle, Esmi, Estevão, Barros, Laécio Carvalho de

    Published in Information sciences (01-02-2020)
    “…In this manuscript we study integration and derivative theories for interactive fuzzy processes. These theories are based on the Fréchet derivative and the…”
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    Journal Article
  2. 2

    The memory effect on fractional calculus: an application in the spread of COVID-19 by Barros, Laécio Carvalho de, Lopes, Michele Martins, Pedro, Francielle Santo, Esmi, Estevão, Santos, José Paulo Carvalho dos, Sánchez, Daniel Eduardo

    Published in Computational & applied mathematics (01-04-2021)
    “…Fractional calculus has been widely used in mathematical modeling of evolutionary systems with memory effect on dynamics. The main interest of this work is to…”
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    Journal Article
  3. 3

    On interactive fuzzy solutions for mechanical vibration problems by Sánchez, Daniel Eduardo, Wasques, Vinícius F., Arenas, Jorge P., Esmi, Estevão, Barros, Laécio Carvalho de

    Published in Applied Mathematical Modelling (01-08-2021)
    “…•Solutions to vibration problems with interactive fuzzy numbers as initial conditions.•These are obtained by extending deterministic solutions via Zadeh and…”
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    Journal Article
  4. 4

    The Use of Triangular Norms in Epidemiological Models: A Comparative Study Using COVID-19 Data by Lopes, Michele Martins, Simoes, Francielle Santo Pedro, Esmi, Estevao, de Barros, Laecio Carvalho

    Published in IEEE transactions on fuzzy systems (01-05-2023)
    “…In this manuscript we use triangular norms to model contact between susceptible and infected individuals in the susceptible-infected-recovered (SIR)…”
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    Journal Article
  5. 5

    On fuzzy solutions for partial differential equations by Maria Bertone, Ana, Motta Jafelice, Rosana, Barros, Laécio Carvalho de, Bassanezi, Rodney Carlos

    Published in Fuzzy sets and systems (16-05-2013)
    “…In this study we investigate heat, wave and Poisson equations as classical models of partial differential equations (PDEs) with uncertain parameters,…”
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    Journal Article
  6. 6

    Granular approximation of solutions of partial differential equations with fuzzy parameter by Bertone, Ana Maria, Jafelice, Rosana Motta, Barros, Laécio Carvalho de, Gomide, Fernando

    Published in Granular computing (Internet) (01-03-2018)
    “…Fuzzy graph formed by a collection of fuzzy rules approximate solutions of partial differential equations with imprecise parameters in the form of fuzzy…”
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    Journal Article
  7. 7

    Fractional derivatives as weighted average of historical values: an application to COVID-19 in Brazil by Lopes, Michele Martins, Pedro, Francielle Santo, Santos, José Paulo Carvalho dos, Ibá´ñez, Daniel Sánchez, Esmi, Estevão, Barros, Laécio Carvalho de

    Published in C.Q.D. (28-09-2022)
    “…The memory effect is an interesting tool that can be seen in fractional differential equations. To show this clearly, in this paper we prove that the Caputo…”
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    Journal Article
  8. 8

    Solution to the Bessel differential equation with interactive fuzzy boundary conditions by Sánchez, Daniel Eduardo, Wasques, Vinícius Francisco, Esmi, Estevão, de Barros, Laécio Carvalho

    Published in Computational & applied mathematics (01-02-2022)
    “…In this paper we deal with the fuzzy boundary value problem of the Bessel differential equation, whose boundary conditions are uncertain and given by linearly…”
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    Journal Article
  9. 9

    Solving interactive fuzzy initial value problem via fuzzy Laplace transform by Salgado, Silvio Antonio Bueno, Esmi, Estevão, Sánchez, Daniel Eduardo, de Barros, Laécio Carvalho

    Published in Computational & applied mathematics (01-02-2021)
    “…In this work, we present some properties of the fuzzy Laplace transform with the notion of linearly correlated differentiability also called L…”
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    Journal Article
  10. 10

    Fuzzy differential equations with interactive derivative by de Barros, Laécio Carvalho, Santo Pedro, Francielle

    Published in Fuzzy sets and systems (15-02-2017)
    “…In this paper we introduce and study new concept of differentiability for fuzzy-set-valued functions. This derivative considers possible local interactivity in…”
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    Journal Article
  11. 11

    Population growth model via interactive fuzzy differential equation by Pedro, Francielle Santo, de Barros, Laécio Carvalho, Esmi, Estevão

    Published in Information sciences (01-05-2019)
    “…In this manuscript we study a fuzzy initial value problem (FIVP) which describes an autocorrelated evolutive process. For this, we use the F-correlated…”
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    Journal Article
  12. 12

    Fréchet derivative for linearly correlated fuzzy function by Esmi, Estevão, Pedro, Francielle Santo, de Barros, Laécio Carvalho, Lodwick, Weldon

    Published in Information sciences (01-04-2018)
    “…This article introduces the concept of linearly correlated Fréchet derivative for fuzzy processes. For linearly autocorrelated fuzzy functions, a practical…”
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    Journal Article
  13. 13

    Solutions of higher order linear fuzzy differential equations with interactive fuzzy values by Esmi, Estevão, Sánchez, Daniel Eduardo, Wasques, Vinícius Francisco, Carvalho de Barros, Laécio

    Published in Fuzzy sets and systems (30-08-2021)
    “…In this study, we consider higher order linear differential equations with additional conditions (initial and/or boundary) given by interactive fuzzy numbers…”
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    Journal Article
  14. 14

    Banach spaces generated by strongly linearly independent fuzzy numbers by Esmi, Estevão, Carvalho de Barros, Laécio, Santo Pedro, Francielle, Laiate, Beatriz

    Published in Fuzzy sets and systems (01-08-2021)
    “…This article introduces the notion of strong linear independence (SLI) for a set of fuzzy numbers. Based on this notion, we prove that there exist isomorphisms…”
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    Journal Article
  15. 15

    Addition and subtraction of interactive fuzzy numbers via family of joint possibility distributions by Esmi, Estevão, Wasques, Vinícius Francisco, Carvalho de Barros, Laécio

    Published in Fuzzy sets and systems (15-11-2021)
    “…In this article we propose a method to calculate the sum and difference of two interactive fuzzy numbers. These arithmetic operations are obtained by the sup-J…”
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    Journal Article
  16. 16

    Fuzzy fractional differential equations with interactive derivative by Santo Pedro, Francielle, Lopes, Michele Martins, Wasques, Vinícius Francisco, Esmi, Estevão, de Barros, Laécio Carvalho

    Published in Fuzzy sets and systems (15-09-2023)
    “…In this manuscript we present the concept of fuzzy fractional differential equation considering the fuzzy relationship of interactivity. We develop the theory…”
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    Journal Article
  17. 17

    A theory of calculus for A-correlated fuzzy processes by do Nascimento Costa, Gustavo, Laureano, Estevão Esmi, Carvalho de Barros, Laécio

    Published in Information sciences (01-08-2023)
    “…This article presents a new concept of calculus for fuzzy number-valued functions based on Zadeh's extension principle. More precisely, we propose a calculus…”
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    Journal Article
  18. 18

    On interactive fuzzy boundary value problems by Sánchez, Daniel Eduardo, de Barros, Laécio Carvalho, Esmi, Estevão

    Published in Fuzzy sets and systems (01-03-2019)
    “…In this paper we use the concept of interactivity between fuzzy numbers for the solution to a linear fuzzy boundary value problem (FBVP). We show that a…”
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    Journal Article
  19. 19

    The use of t-norms in mathematical models of epidemics by Santo Pedro, Francielle, Carvalho de Barros, Laecio

    “…We study different t-norms in epidemiological mathematical models. We explore the SI model, which encounter between individuals is originally modelled by the…”
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    Conference Proceeding
  20. 20

    Fuzzy stationary Schrödinger equation with correlated fuzzy boundaries by Salgado, Silvio Antonio Bueno, Esmi, Estevão, de Souza, Sérgio Martins, Rojas, Onofre, de Barros, Laécio Carvalho

    Published in Soft computing (Berlin, Germany) (01-02-2024)
    “…This article introduces the space of A-linearly correlated fuzzy complex numbers. Using this space, we study the stationary Schrödinger equation with boundary…”
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    Journal Article