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Publications Influence

Fractional Versions of the Fundamental Theorem of Calculus

- E. C. Grigoletto, E. C. Oliveira
- Mathematics
- 4 July 2013

The concept of fractional integral in the Riemann-Liouville, Liouville, Weyl and Riesz sense is presented. Some properties involving the particular Riemann-Liouville integral are mentioned. By means… Expand

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Slowing-down of neutrons: a fractional model

- F. Costa, E. C. Grigoletto, J. Vaz, E. C. Oliveira
- Mathematics
- 18 June 2015

The fractional version for the diffusion of neutrons in a material medium is studied. The concept of fractional derivative is presented, in the Caputo and Riesz senses. Using this concept, we discuss… Expand

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Linear fractional differential equations and eigenfunctions of fractional differential operators

- E. C. Grigoletto, E. C. Oliveira, Rubens Figueiredo Camargo
- Mathematics
- 1 May 2018

Eigenfunctions associated with Riemann–Liouville and Caputo fractional differential operators are obtained by imposing a restriction on the fractional derivative parameter. Those eigenfunctions can… Expand

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Integral representations of Mittag-Leffler function on the positive real axis

- E. C. Grigoletto, E. C. Oliveira, R. F. Camargo
- Mathematics
- 29 July 2019

The Mittag-Leffler functions appear in many problems associated with fractional calculus. In this paper, we use the methodology for evaluation of the inverse Laplace transform, proposed by M. N.… Expand

Implementação eficiente dos métodos de pontos interiores especializados para o problema de regressão pela norma Lp

- E. C. Grigoletto, A. Oliveira
- Physics
- 5 February 2011

Os metodos de pontos interiores primais-duais para o problema de regressao pela norma-p desenvolvidos terao sua estrutura matricial resultante explorada objetivando uma implementacao eficiente. O… Expand

Linearização fracionária de sistemas dinâmicos

- E. C. Grigoletto, Junior Cesar Alves Soares, Samuel Ferreira Batista
- Physics
- 20 February 2020

Quando o tempo e considerado continuo, um sistema dinamico nao linear e composto por equacoes diferenciais nao lineares, cuja solucao analitica e de dificil ou impossivel obtencao. Se o sistema… Expand

Equação de Richards Fracionária

- Junior Cesar Alves Soares, E. C. Grigoletto, L. B. Machado, Minéia Cappellari Fagundes
- Art
- 20 February 2020

Os processos dinamicos da agua no solo fazem parte de componentes terrestres do ciclo hidrologico e sao muito uteis em varios ramos da ciencia e da engenharia, em assuntos relacionados com a… Expand

Discrete Fourier transform and fractional equations

- E. C. Grigoletto, J. C. A. Soares, E. C. Oliveira
- Mathematics
- 19 December 2018

In the fractional calculus [4] we have several ways to introduce the concept of fractional derivative [2]. Contharteze et al. [3] discuss a fractional version of the fundamental theorem of calculus… Expand

Time-space fractional for the Stefan model

- E. C. Grigoletto, R. F. Camargo, M. Vynnycky
- Physics
- 20 February 2020

In this paper, we solve a particular time-space fractional Stefan problem including fractional order derivatives in time and space variables in the Fourier heat conduction equation. For this, we… Expand

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