Fractional oscillon equations: continuity properties of attractors with respect to order of the equations
| العنوان: | Fractional oscillon equations: continuity properties of attractors with respect to order of the equations |
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| المؤلفون: | Flank D M Bezerra, Rodiak N Figueroa-López, Marcelo J D Nascimento |
| المصدر: | Nonlinearity. 36:1218-1244 |
| بيانات النشر: | IOP Publishing, 2023. |
| سنة النشر: | 2023 |
| مصطلحات موضوعية: | Applied Mathematics, General Physics and Astronomy, Statistical and Nonlinear Physics, Mathematical Physics |
| الوصف: | 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 ] . |
| تدمد: | 1361-6544 0951-7715 |
| DOI: | 10.1088/1361-6544/acad5c |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::a79af98e22601fe5b8fd03dd9a3a8a8c https://doi.org/10.1088/1361-6544/acad5c |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi...........a79af98e22601fe5b8fd03dd9a3a8a8c |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 13616544 09517715 |
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| DOI: | 10.1088/1361-6544/acad5c |