Fractional oscillon equations: continuity properties of attractors with respect to order of the equations

Autor:	Flank D M Bezerra, Rodiak N Figueroa-López, Marcelo J D Nascimento
Rok vydání:	2023
Předmět:	Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Mathematical Physics
Zdroj:	Nonlinearity. 36:1218-1244
ISSN:	1361-6544 0951-7715
DOI:	10.1088/1361-6544/acad5c
Popis:	In this paper we are concerned with convergence properties of pullback attractors with respect to order of the fractional oscillon equations, that is, we study the fast growing dissipative semilinear oscillon equations as a limiting problem of semilinear equations with the main part being the fractional powers of the oscillon operators. We show that the family of pullback attractors associated with this approximations problems behave upper semicontinuously and we also show a result of continuity of the pullback attractors with respect to order of the fractional oscillon equations in each point of a dense residual subset of the interval [ 0 , 1 ] .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a79af98e22601fe5b8fd03dd9a3a8a8c https://doi.org/10.1088/1361-6544/acad5c Zobrazit plný text záznamu