51 citations · 55 across the 7 of their papers we have counts for
7 papers
Stability of fractional functional differential equations
J. Vanterler da C. Sousa, E. Capelas de Oliveira, F. G. Rodrigues
In this paper, we present a study on the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of the solution of the fractional functional differential equation using the Banach fixed poi…
Stability of the fractional Volterra integro-differential equation by means of Hilfer operator
J. Vanterler da C. Sousa, E. Capelas de Oliveira
In this paper, using the Riemann-Liouville fractional integral with respect to another function and the Hilfer fractional derivative, we propose a fractional Volterra integral…
Confluent Hypergeometric Equation via Fractional Calculus Approach
Fabio G. Rodrigues, Edmundo C. Oliveira
In this paper, using the theory of the so-called fractional calculus we show that it is possible to easily obtain the solutions for the confluent hypergeometric equation. Our appro…
Analysis of the Fractional Integrodifferentiability of Power Functions and some Identities with Hypergeometric Functions
Fabio Grangeiro Rodrigues, Edmundo Capelas de Oliveira
In this work we show that it is possible to calculate the fractional integrals and derivatives of order (using the Riemann-Liouville formulation) of power functions $\left( t-\…
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…
The Maxwell and Navier-Stokes that Follow from Einstein Equation in a Spacetime Containing a Killing Vector Field
Fabio Grangeiro Rodrigues, Roldao da Rocha, Waldyr Alves Rodrigues
In this paper we are concerned to reveal that any spacetime structure <M,[g]<LaTeX>\slg</LaTeX>,D,τ_{[sg]<LaTeX>\sslg</LaTeX>},\uparrow>, which is a model of a gravitational field…
On Equivalent Expressions for the Faraday's Law of Induction
Fabio G. Rodrigues
In this paper we give a rigorous proof of the equivalence of some different forms of Faraday's law of induction clarifying some misconceptions on the subject and emphasizing that m…