000130763 001__ 130763 000130763 005__ 20240131210810.0 000130763 0247_ $$2doi$$a10.12775/TMNA.2018.038 000130763 0248_ $$2sideral$$a110331 000130763 037__ $$aART-2018-110331 000130763 041__ $$aeng 000130763 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias, L.$$uUniversidad de Zaragoza 000130763 245__ $$aUniform stability for fractional cauchy problems and applications 000130763 260__ $$c2018 000130763 5203_ $$a¿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. 000130763 536__ $$9info:eu-repo/grantAgreement/ES/MCYTS/DGI-FEDER$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P 000130763 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000130763 590__ $$a0.837$$b2018 000130763 591__ $$aMATHEMATICS$$b129 / 313 = 0.412$$c2018$$dQ2$$eT2 000130763 592__ $$a0.841$$b2018 000130763 593__ $$aApplied Mathematics$$c2018$$dQ2 000130763 593__ $$aAnalysis$$c2018$$dQ2 000130763 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000130763 700__ $$aÁlvarez, E. 000130763 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000130763 773__ $$g52, 2 (2018), 707-728$$pTopological Methods in Nonlinear Analysis$$tTopological Methods in Nonlinear Analysis$$x1230-3429 000130763 8564_ $$s377355$$uhttps://zaguan.unizar.es/record/130763/files/texto_completo.pdf$$yVersión publicada 000130763 8564_ $$s961065$$uhttps://zaguan.unizar.es/record/130763/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000130763 909CO $$ooai:zaguan.unizar.es:130763$$particulos$$pdriver 000130763 951__ $$a2024-01-31-19:18:51 000130763 980__ $$aARTICLE