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math.CA2019★ 1 cited
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…
math.AP2019★ 3 cited
Basic results of fractional Orlicz-Sobolev space and applications to non-local problems
Sabri Bahrouni, Hichem Ounaies, Leandro S. Tavares
In this paper, we study the interplay between Orlicz-Sobolev spaces and and fractional Sobolev spaces . More precisely, we give some qualitative properti…