130763 20240131210810.0 doi 10.12775/TMNA.2018.038 sideral 110331 ART-2018-110331 eng Abadias, L. Universidad de Zaragoza (orcid)0000-0003-2453-7841 Uniform stability for fractional cauchy problems and applications 2018 ¿In this paper we give uniform stable spatial bounds for the resolvent operator families of the abstract fractional Cauchy problem on R+. Such bounds allow to prove existence and uniqueness of µ-pseudo almost automorphic e-mild regular solutions to the nonlinear fractional Cauchy problem in the whole real line. Finally, we apply our main results to the fractional heat equation with critical nonlinearities. info:eu-repo/grantAgreement/ES/MCYTS/DGI-FEDER info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P info:eu-repo/semantics/closedAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.837 2018 MATHEMATICS 129 / 313 = 0.412 2018 Q2 T2 0.841 2018 Applied Mathematics 2018 Q2 Analysis 2018 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Álvarez, E. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 52, 2 (2018), 707-728 Topological Methods in Nonlinear Analysis Topological Methods in Nonlinear Analysis 1230-3429 377355 http://zaguan.unizar.es/record/130763/files/texto_completo.pdf Versión publicada 961065 http://zaguan.unizar.es/record/130763/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:130763 articulos driver 2024-01-31-19:18:51 ARTICLE