145 citations · 314 across the 27 of their papers we have counts for
28 papers
On the -regular mild solution for fractional abstract integro-differential equations
J. Vanterler C. Sousa, M. Aurora P. Pulido, V. Govindaraj +1
In this present paper, we first obtained some estimates involving parts of -regular mild solutions of the fractional integro-differential equation. In this sense, thro…
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…
Leibniz type rule: Hilfer fractional derivative
J. Vanterler da C. Sousa, E. Capelas de Oliveira
In this paper, we present the Leibniz rule for the Hilfer (H) fractional derivative in two versions, the first in relation to RL fractional derivative and the second in…
Validation of a fractional model for erythrocyte sedimentation rate
J. Vanterler da C. Sousa, Magun N. N. dos Santos, L. A. Magna +1
We present the validation of a recent fractional mathematical model for erythrocyte sedimentation proposed by Sharma et al. \cite{GMR}. The model uses a Caputo fractional derivativ…
A new fractional derivative of variable order with non-singular kernel and fractional differential equations
J. Vanterler da C. Sousa, E. Capelas de Oliveira
In this paper, we introduce two new non-singular kernel fractional derivatives and present a class of other fractional derivatives derived from the new formulations. We present som…