2 papers
math.CA2018
On the Ulam-Hyers stabilities of Ψ-Hilfer fractional differential equation by means of abstract Volterra operator
J. Vanterler da C. Sousa, Kishor D. Kucche, E. Capelas de Oliveira
In this paper, we consider the new class of the fractional differential equation involving the abstract Volterra operator in the Banach space and investigate existence, uniqueness…
math.CA2018
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…