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Publications Influence

Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics

- E. C. de Oliveira, F. Mainardi, J. Vaz
- Physics, Mathematics
- 4 April 2011

Abstract.We revisit the Mittag-Leffler functions of a real variable t, with one, two and three order-parameters {α,β,γ}, as far as their Laplace transform pairs and complete monotonicity properties… Expand

107 6- PDF

Resistive Plates Carrying a Steady Current: Electric Potential and Surface Charges Close to the Battery

- J. A. Hernandes, E. C. de Oliveira, A. Assis
- Physics
- 25 July 2005

We treat the problem of two resistive plates carrying a steady current in the same direction. We consider a linear battery orthogonal to the direction of the current in the middle of the plates. We… Expand

4- PDF

A real integral by means of complex integration

- E. C. de Oliveira, A. Chiacchio
- Mathematics
- 1 July 2004

This note presents and discusses a class of real integrals involving a hyperbolic function by means of complex integration. An integral representation is obtained which appears in several fields of… Expand

3

On exact and inexact differentials and applications

- L. A. B. Cortez, E. C. de Oliveira
- Mathematics
- 19 May 2017

ABSTRACT Considering the important role played by mathematical derivatives in the study of physical–chemical processes, this paper discusses the different possibilities and formulations of this… Expand

On an integral with two branch points

- E. C. de Oliveira, A. Chiacchio
- Mathematics
- 15 June 2006

The paper considers a class of real integrals performed by using a convenient integral in the complex plane. A complex integral containing a multi-valued function with two branch points is… Expand

1

Some properties of the El n (r) polynomials

- D. Gomes, E. C. de Oliveira, E. Cuello
- Mathematics
- 1 November 2007

We present a new class of polynomials that are solutions of the generalized Laplace differential equation, written in spherical coordinates. Differentiation properties, orthogonality, Rodrigues like… Expand

Is a definition always useful to calculate something?

- E. C. Grigoletto, E. C. de Oliveira
- Mathematics
- 1 July 2013

We calculate the limit of a particular trigonometric function After a question proposed by a student: can you show a particular result, involving a trigonometric limit, using the definition of limit?… Expand

1

One-sided and two-sided Green’s functions

- R. F. Camargo, A. Chiacchio, E. C. de Oliveira
- Mathematics
- 6 March 2013

We discuss the one-sided Green’s function, associated with an initial value problem and the two-sided Green’s function related to a boundary value problem. We present a specific calculation… Expand

3

Faedo-Galerkin approximation of mild solutions of fractional functional differential equations

- J. V. D. C. Sousa, Michal Feckan, E. C. de Oliveira
- 1 January 2021

Abstract In the paper, we discuss the existence and uniqueness of mild solutions of a class of fractional functional differential equations in Hilbert space separable using the Banach fixed point… Expand