99073 20230519145517.0 doi 10.1186/s13662-020-03206-7 sideral 122236 ART-2021-122236 eng González-Camus, J. Fundamental solutions for semidiscrete evolution equations via Banach algebras 2021 Access copy available to the general public Unrestricted We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform. We consider finite difference operators of first and second orders, which are generators of uniformly continuous semigroups and cosine functions. We present the linear and algebraic structures (in particular, factorization properties) and their norms and spectra in the Lebesgue space of summable sequences. We identify fractional powers of these generators and apply to them the subordination principle. We also give some applications and consequences of our results. info:eu-repo/grantAgreement/ES/DGA-FEDER/E26-17R info:eu-repo/grantAgreement/ES/MINECO/MTM2016-77710-P info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 3.761 2021 MATHEMATICS, APPLIED 15 / 267 = 0.056 2021 Q1 T1 MATHEMATICS 5 / 333 = 0.015 2021 Q1 T1 0.755 2021 Analysis 2021 Q1 Algebra and Number Theory 2021 Q1 5.8 2021 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Lizama, C. Miana, P.J. Universidad de Zaragoza (orcid)0000-0001-9430-343X 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 35, 1 (2021), [32 pp] Advances in Difference Equations Advances in Difference Equations 1687-1839 337869 http://zaguan.unizar.es/record/99073/files/texto_completo.pdf Versión publicada 1857961 http://zaguan.unizar.es/record/99073/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:99073 articulos driver 2023-05-18-15:19:42 ARTICLE