doi:10.1080/00036811.2015.1064521engAbadias, L.Lizama, C.Almost automorphic mild solutions to fractional partial difference-differential equationsART-2016-91080We 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.2016http://zaguan.unizar.es/record/13074010.1080/00036811.2015.1064521http://zaguan.unizar.es/record/130740oai:zaguan.unizar.es:130740info:eu-repo/grantAgreement/ES/DGA/E64info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-PAPPLICABLE ANALYSIS 95, 6 (2016), 1347-1369All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/closedAccess