130784 20240131210811.0 doi 10.1002/mana.201800342 sideral 118839 ART-2020-118839 eng Abadias, L. Universidad de Zaragoza (orcid)0000-0003-2453-7841 Fractional Cauchy problem with memory effects 2020 We give an original representation integral formula for the resolvent families associated to the fractional Cauchy equation with memory effects (Formula presented.) where (Formula presented.) and A is a sectorial operator on a Banach space X. Moreover, we get spatial bounds for the resolvent families in order to study global or blow up mild solutions when the nonlinearity f satisfies a locally Lipschitz condition. The case of critical nonlinearities is also treated. info:eu-repo/grantAgreement/ES/DGA/E26-17R info:eu-repo/grantAgreement/ES/MCYTS-MTM2016-77710-P info:eu-repo/semantics/closedAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.228 2020 MATHEMATICS 111 / 330 = 0.336 2020 Q2 T2 0.913 2020 Mathematics (miscellaneous) 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Alvarez, E. 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 293 (2020), 1846-1872 Math. Nachr. Mathematische Nachrichten 0025-584X 316405 http://zaguan.unizar.es/record/130784/files/texto_completo.pdf Versión publicada 1476373 http://zaguan.unizar.es/record/130784/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:130784 articulos driver 2024-01-31-19:20:47 ARTICLE