4 citations · 4 across the 1 of their papers we have counts for
3 papers
On the stability of a hyperbolic fractional partial differential equation
J. Vanterler da C. Sousa, E. Capelas de OLiveira
In this paper, by means of the Gronwall inequality, the ψ-Riemann-Liouville fractional partial integral and the ψ-Hilfer fractional partial derivative are introduced and some of it…
Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
J. Vanterler da C. Sousa, E. Capelas de Oliveira
By means of the recent -Hilfer fractional derivative and of the Banach fixed-point theorem, we investigate stabilities of Ulam-Hyers, Ulam-Hyers-Rassias and semi-Ulam-Hyers-Rass…
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…