4 citations · 4 across the 4 of their papers we have counts for
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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…
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…