130740 20240131210810.0 doi 10.1080/00036811.2015.1064521 sideral 91080 ART-2016-91080 eng Abadias, L. Universidad de Zaragoza (orcid)0000-0003-2453-7841 Almost automorphic mild solutions to fractional partial difference-differential equations 2016 We study existence and uniqueness of almost automorphic solutions for nonlinear partial difference-differential equations modeled in abstract form as [fórmula sin transcribir](*) for ... where ... is the generator of a ... -semigroup defined on a Banach space ... denote fractional difference in Weyl-like sense and ... satisfies Lipchitz conditions of global and local type. We introduce the notion of ... -resolvent sequence ... and we prove that a mild solution of (*) corresponds to a fixed point of [fórmula sin transcribir]. We show that such mild solution is strong in case of the forcing term belongs to an appropriate weighted Lebesgue space of sequences. Application to a model of population of cells is given. info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P info:eu-repo/semantics/closedAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.923 2016 MATHEMATICS, APPLIED 129 / 255 = 0.506 2016 Q3 T2 0.826 2016 Applied Mathematics 2016 Q2 Analysis 2016 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Lizama, C. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 95, 6 (2016), 1347-1369 APPLICABLE ANALYSIS APPLICABLE ANALYSIS 0003-6811 197483 http://zaguan.unizar.es/record/130740/files/texto_completo.pdf Versión publicada 1930298 http://zaguan.unizar.es/record/130740/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:130740 articulos driver 2024-01-31-19:17:18 ARTICLE