000130784 001__ 130784 000130784 005__ 20240131210811.0 000130784 0247_ $$2doi$$a10.1002/mana.201800342 000130784 0248_ $$2sideral$$a118839 000130784 037__ $$aART-2020-118839 000130784 041__ $$aeng 000130784 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias, L.$$uUniversidad de Zaragoza 000130784 245__ $$aFractional Cauchy problem with memory effects 000130784 260__ $$c2020 000130784 5203_ $$aWe 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. 000130784 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E26-17R$$9info:eu-repo/grantAgreement/ES/MCYTS-MTM2016-77710-P 000130784 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000130784 590__ $$a1.228$$b2020 000130784 591__ $$aMATHEMATICS$$b111 / 330 = 0.336$$c2020$$dQ2$$eT2 000130784 592__ $$a0.913$$b2020 000130784 593__ $$aMathematics (miscellaneous)$$c2020$$dQ1 000130784 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000130784 700__ $$aAlvarez, E. 000130784 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000130784 773__ $$g293 (2020), 1846-1872$$pMath. Nachr.$$tMathematische Nachrichten$$x0025-584X 000130784 8564_ $$s316405$$uhttps://zaguan.unizar.es/record/130784/files/texto_completo.pdf$$yVersión publicada 000130784 8564_ $$s1476373$$uhttps://zaguan.unizar.es/record/130784/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000130784 909CO $$ooai:zaguan.unizar.es:130784$$particulos$$pdriver 000130784 951__ $$a2024-01-31-19:20:47 000130784 980__ $$aARTICLE