71091 20180709155049.0 sideral 106684 ART-2018-106684 eng (orcid)0000-0003-2453-7841 Abadías Ullod, Luciano Universidad de Zaragoza Uniform stability for fractional Cauchy problems and applications 2018 Access copy available to the general public Unrestricted In this paper we give uniform stable spatial bounds for the resolvent operator fami- lies 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/MICINN/MTM2016-77710-P info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Álvarez, Edgardo 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático Topological Methods in Nonlinear Analysis Topological Methods in Nonlinear Analysis 1230-3429 663685 http://zaguan.unizar.es/record/71091/files/texto_completo.pdf Postprint 75036 http://zaguan.unizar.es/record/71091/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:71091 articulos driver 2018-07-09-15:20:54 ARTICLE