37 citations · 72 across the 9 of their papers we have counts for
9 papers
Existence, uniqueness and controllability for Hilfer differential equations on times scales
J. Vanterler da C. Sousa, D. S. Oliveira, Gastao S. F. Frederico +1
We introduce a new version of -Hilfer fractional derivative, on an arbitrary time scale. The fundamental properties of the new operator are investigated and, in particular, we p…
Properties of fractional integral operators involving the three-parameters Mittag-Leffler function in the kernels with respect to another function
D. S. Oliveira
This paper aims to investigate properties associated with fractional integral operators involving the three-parameters Mittag-Leffler function in the kernels with respect to anothe…
Analytical solutions for Navier-Stokes equations with -Caputo fractional derivative
D. S. Oliveira, E. Capelas de Oliveira
This work aims to use the homotopy analysis method to obtain analytical solutions of linear time-fractional Navier-Stokes equations with cylindrical coordinates and of a system of…
Solutions of time-fractional differential equations using homotopy analysis method
D. S. Oliveira, E. Capelas de Oliveira
We have used the homotopy analysis method to obtain solutions of linear and nonlinear fractional partial differential differential equations with initial conditions. We replace the…
Mild and classical solutions for fractional evolution differential equation
J. Vanterler da C. Sousa, Thabet Abdeljawad, D. S. Oliveira
Investigating the existence, uniqueness, stability, continuous dependence of data among other properties of solutions of fractional differential equations, has been the object of s…
A note on the mild solutions of Hilfer impulsive fractional differential equations
J. Vanterler da C. Sousa, D. S. Oliveira, E. Capelas de Oliveira
In this paper, we present a new class of inequality of the Gronwall type and discuss some particular cases. In this sense, we investigate the uniqueness and -Ulam-Hyers-Rassias…
On the existence and stability for non-instantaneuos impulsive fractional integrodifferential equation
J. Vanterler da C. Sousa, D. S. Oliveira, E. Capelas de Oliveira
In this paper, by means of Banach fixed point theorem, we investigate the existence and Ulam--Hyers--Rassias stability of the non-instantaneous impulsive integrodifferential equati…
Gruss-type inequality by mean of a fractional integral
J. Vanterler da C. Sousa, D. S. Oliveira, E. Capelas de Oliveira
In this paper, using a fractional integral as proposed by Katugampola we establish a generalization of integral inequalities of Gruss-type. We prove two theorems associated with th…
Hilfer-Katugampola fractional derivative
D. S. Oliveira, E. Capelas de Oliveira
We propose a new fractional derivative, the Hilfer-Katugampola fractional derivative. Motivated by the Hilfer derivative this formulation interpolates the well-known fractional der…