78049 20200716101523.0 doi 10.3934/dcds.2019112 sideral 110543 ART-2019-110543 eng (orcid)0000-0003-2453-7841 Abadias, L. Universidad de Zaragoza On well-posedness of vector-valued fractional differential-difference equations 2019 Access copy available to the general public Unrestricted We develop an operator-theoretical method for the analysis on well posedness of partial differential-difference equations that can be modeled in the form (*) {Delta(alpha) u(n) = Au(n + 2) + f(n, u(n)), n is an element of N-0, 1 < alpha <= 2; u(0) = u(0); u(1) = u(1); where A is a closed linear operator defined on a Banach space X. Our ideas are inspired on the Poisson distribution as a tool to sampling fractional differential operators into fractional differences. Using our abstract approach, we are able to show existence and uniqueness of solutions for the problem (*) on a distinguished class of weighted Lebesgue spaces of sequences, under mild conditions on sequences of strongly continuous families of bounded operators generated by A, and natural restrictions on the nonlinearity f. Finally we present some original examples to illustrate our results. info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MCYTS/ESP2016-79135-R info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.338 2019 MATHEMATICS 64 / 324 = 0.198 2019 Q1 T1 MATHEMATICS, APPLIED 104 / 260 = 0.4 2019 Q2 T2 1.362 2019 Analysis 2019 Q1 Discrete Mathematics and Combinatorics 2019 Q1 Applied Mathematics 2019 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion Lizama, C. (orcid)0000-0001-9430-343X Miana, P.J. Universidad de Zaragoza (orcid)0000-0002-0988-2527 Velasco, M.P. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 39, 5 (2019), 2679-2708 Discrete contin. dyn. syst. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 1078-0947 398811 http://zaguan.unizar.es/record/78049/files/texto_completo.pdf Preprint 77473 http://zaguan.unizar.es/record/78049/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:78049 articulos driver 2020-07-16-09:28:15 ARTICLE