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Theorem for Series in Three-Parameter Mittag-Leffler Function

- A. L. Soubhia, R. F. Camargo, E. C. Oliveira, J. Vaz
- Mathematics
- 2010

The new result presented here is a theorem involving series in the threeparameter Mittag-Le†er function. As a by-product, we recover some known results and discuss corollaries. As an application, we… Expand

26 2- PDF

On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator

- R. F. Camargo, E. C. Oliveira, J. Vaz
- Physics
- 18 December 2009

The fractional generalized Langevin equation (FGLE) is proposed to discuss the anomalous diffusive behavior of a harmonic oscillator driven by a two-parameter Mittag–Leffler noise. The solution of… Expand

43 1

On some fractional Green’s functions

- R. F. Camargo, R. Charnet, E. C. Oliveira
- Mathematics
- 23 April 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… Expand

31 1- PDF

Differentiation to fractional orders and the fractional telegraph equation

- R. F. Camargo, A. O. Chiacchio, E. C. Oliveira
- Mathematics
- 10 March 2008

Using methods of differential and integral calculus, we present and discuss the calculation of a fractional Green function associated with the one-dimensional case of the so-called general fractional… Expand

43

A prelude to the fractional calculus applied to tumor dynamic

- R. F. Camargo, Arianne Vellasco Gomes, Najla Varalta
- Mathematics
- 6 September 2014

In order to refine the solution given by the classical logistic equation and extend its range of applications in the study of tumor dynamics, we propose and solve a generalization of this equation,… Expand

21- PDF

Solution of the fractional Langevin equation and the Mittag–Leffler functions

- R. F. Camargo, A. O. Chiacchio, R. Charnet, E. C. Oliveira
- Mathematics
- 16 June 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… Expand

39- PDF

Analysis of fractional-order models for hepatitis B

- L. C. Cardoso, F. Dos Santos, R. F. Camargo
- Mathematics
- 10 February 2018

This paper presents two models for hepatitis B, both given by fractional differential equations. The first model is formulated without parameters that indicate drug therapy, while the second one… Expand

14

On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation

- R. F. Camargo, E. C. Oliveira, J. Vaz
- Mathematics
- 1 March 2012

The classical Mittag-Leffler functions, involving one- and two-parameter, play an important role in the study of fractional-order differential (and integral) equations. The so-called generalized… Expand

36

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

Stability analysis and numerical simulations via fractional calculus for tumor dormancy models

- Jairo Gomes da Silva, Aiara C. O. Ribeiro, R. F. Camargo, P. Mancera, F. D. Santos
- Mathematics, Computer Science
- Commun. Nonlinear Sci. Numer. Simul.
- 30 June 2019

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