12 citations · 46 across the 17 of their papers we have counts for
17 papers
On the mistake in defining fractional derivative using a non-singular kernel
Edmundo Capelas de Oliveira, Stefania Jarosz, Jayme Vaz
Definitions of fractional derivative of order () using non-singular kernels have been recently proposed. In this note we show that these definitions cannot be usef…
Ulam-Hyers stabilities of mild solutions of the fractional nonlinear abstract Cauchy problem
J. Vanterler da C. Sousa, K. D. Kucche, E. Capelas de Oliveira
Since the main work on Ulam-Hyers dependable stabilities of differential equations to date, numerous significant and applicable papers have been published, both in the sense of int…
On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in
J. Vanterler da C. Sousa, E. Capelas de Oliveira
In this paper, we present the result of maximum regularity of the mild solution of the fractional Cauchy problem. As our main result, we investigate the uniqueness of mild solution…
Mild and strong solutions for Hilfer evolution equation
J. Vanterler da C. Sousa, Leandro S. Tavares, E. Capelas de Oliveira
In this paper, we investigate the existence and uniqueness of mild and strong solutions of fractional semilinear evolution equations in the Hilfer sense, by means of Banach fixed p…
A new class of mild and strong solutions of integro-differential equation of arbitrary order in Banach space
J. Vanterler da C. Sousa, D. F. Gomes, E. Capelas de Oliveira
The motivation that the field of differential equations provide to several researchers for the challenges that have been challenging them over the decades has contributed to the st…
Stability of fractional functional differential equations
J. Vanterler da C. Sousa, E. Capelas de Oliveira, F. G. Rodrigues
In this paper, we present a study on the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of the solution of the fractional functional differential equation using the Banach fixed poi…