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Publications Influence

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.

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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

10 1

On the fractional Harry Dym equation

- F. Costa, J. C. A. Soares, Adrian Ricardo Gómez Plata, E. C. Oliveira
- Mathematics
- 1 July 2018

We present and discuss the general case of a fractional nonlinear partial differential equation using similarity reductions and recover results associated with Harry Dym-type equations. Particular… Expand

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Similarity solution to fractional nonlinear space-time diffusion-wave equation

- F. Costa, J. Marão, J. C. A. Soares, E. C. Oliveira
- Mathematics
- 24 March 2015

In this article, the so-called fractional nonlinear space-time wave-diffusion equation is presented and discussed. This equation is solved by the similarity method using fractional derivatives in the… Expand

16

STUDY OF POLYGONS IN THE ARGAND-GAUSS PLANE

- F. Costa, Robert Batista Pinheiro
- Mathematics
- 7 August 2015

In this work, we present the historical part of the complex numbers, showing its emergence and its evolution over time. We classify the triangles in the Argand-Gauss plane, considering its vertices… Expand

Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection

- F. Costa, Marta Raquel Araujo Pereira
- Physics
- 24 February 2017

In this paper we investigate anomalous diffusion coupled with linear convection, using fractional calculus to describe the anomalous associated memory effects in diffusive term. We get an explicit… Expand

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GEOMETRICAL QUATERNIONIC COUPLING FOR THREE DIMENSIONAL WAVE EQUATIONS

- Manoel Ferreira Neto, J. Marão, F. Costa, J. C. Coelho
- Physics
- 25 November 2014

The present work has the scope to show the relationship between four three-dimensional waves. This fact will be made in the form of coupling, us- ing for it the Cauchy-Riemann conditions for… Expand

Fractional thermal systems

- F. Costa, E. Capelas de Oliveira
- Mathematics
- International Conference on Multimedia Technology
- 26 July 2011

We investigate the fractional behavior of the integrators associated with a fractional diffusion equation in an interface, in two different geometries, a wall and a sphere, by means of a new relation… Expand

Fractional space–time nonlinear reaction–convection–diffusion

- F. Costa, Marta Raquel Araujo Pereira
- Physics
- 24 January 2018

We comment the fractional space–time reaction–convection–diffusion defined by Grünwald–Letnikov, Riesz and Riesz–Feller fractional derivatives. We find the explicit travelling wave solution, using… Expand

3

Fractional wave-diffusion equation with periodic conditions

- F. Costa, E. C. Oliveira
- Mathematics
- 10 December 2012

We study a time-space fractional wave-diffusion equation with periodic conditions using Laplace transforms and Fourier series and presenting its solution in terms of three-parameter Mittag-Leffler… Expand

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