4 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-\…