12 citations · 21 across the 9 of their papers we have counts for
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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…