145 citations · 314 across the 27 of their papers we have counts for
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Introduction to the techniques of the fractional calculus to investigate some models of the mathematical physics (in Portuguese)
Fabio G. Rodrigues, Edmundo C. Oliveira
In this paper, we resort to the Laplace transform method in order to show its efficiency when approaching some types of fractional differential equations. In particular, we present…
New Lagrange multipliers for the time fractional Burgers' equation
A. R. Gómez Plata, E. Capelas de Oliveira
Using the fractional derivative, considered in the Caputo sense, we study an analytical technique associated with the variational iteration method for the fractional generalized $α…
Elko Spinor Fields and Massive Magnetic Like Monopoles
E. Capelas de Oliveira, W. A. Rodrigues, J. Vaz
In this paper we recall that by construction Elko spinor fields of λ and ρ types satisfy a coupled system of first order partial differential equations (csfopde) that once interact…
Does Elko Spinor Field Imply the Existence of an Axis of Locality?
Edmundo Capelas de Oliveira, Waldyr Alves Rodrigues
In this paper we show that the statement in Ahluwalia, Lee, and Schritt (2011) that the existence of elko spinor fields implies in an axis of locality is equivocated. The anticommu…
Superluminal Neutrinos from OPERA Experiment and Weyl Equation
E. Capelas de Oliveira, W. A. Rodrigues, J. Vaz
By analyzing the structure of the Weyl spinor field in the Clifford bundle formalism we show that in each spinorial frame it is represented by F\insec(\doublebarwedge^0 T^\starM +…
Tunneling in Fractional Quantum Mechanics
Edmundo Capelas de Oliveira, Jayme Vaz
We study the tunneling through delta and double delta potentials in fractional quantum mechanics. After solving the fractional Schrödinger equation for these potentials, we calcula…