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The Many Faces of Maxwell, Dirac and Einstein Equations: A Clifford Bundle Approach

- W. Rodrigues, E. C. Oliveira
- Physics
- 28 September 2007

Preface.- Introduction.- Multivector and Extensor Calculus.- The Hidden Geometrical Nature of Spinors.- Some Differential Geometry.- Clifford Bundle Approach to the Differential Geometry of Branes.-… Expand

109 4

The fractional Schrödinger equation for delta potentials

- E. C. Oliveira, F. Costa, J. Vaz
- Physics
- 21 December 2010

The fractional Schrodinger equation is solved for the delta potential and the double delta potential for all energies. The solutions are given in terms of Fox's H-function.

61 3- PDF

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

Relaxation Equations: Fractional Models

- Ester C. F. A. Rosa, E. C. Oliveira
- Mathematics, Physics
- 14 September 2015

The relaxation functions introduced empirically by Debye, Cole-Cole, Cole-Davidson and Havriliak-Negami are, each of them, solutions to their respective kinetic equations. In this work, we propose a… Expand

19 1- PDF

Fractional models of anomalous relaxation based on the Kilbas and Saigo function

- E. C. Oliveira, F. Mainardi, J. Vaz
- Mathematics
- 11 April 2014

We revisit the Kilbas and Saigo functions of the Mittag-Leffler type of a real variable $$t$$t, with two independent real order-parameters. These functions, subjected to the requirement to be… Expand

36 1

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

10 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

Superluminal electromagnetic waves in free space

- E. C. Oliveira, W. A. Rodriguez
- Physics
- 1 December 1998

Recently it has been shown that all relativistic wave equations possess families of undistorted progressive waves (UPWs) which can travel with arbitrary speeds 0 ≤ v < ∞. In this paper we present the… Expand

15 1

On a particular case of series

- E. C. Oliveira
- Mathematics
- 27 March 2008

We present a general formula for a triple product involving four real numbers. As a particular case, we get the sum of a triple product of four odd integers. Some interesting results are recovered.… Expand

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