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000099073 0247_ $$2doi$$a10.1186/s13662-020-03206-7
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000099073 037__ $$aART-2021-122236
000099073 041__ $$aeng
000099073 100__ $$aGonzález-Camus, J.
000099073 245__ $$aFundamental solutions for semidiscrete evolution equations via Banach algebras
000099073 260__ $$c2021
000099073 5060_ $$aAccess copy available to the general public$$fUnrestricted
000099073 5203_ $$aWe 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.
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000099073 590__ $$a3.761$$b2021
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000099073 591__ $$aMATHEMATICS, APPLIED$$b15 / 267 = 0.056$$c2021$$dQ1$$eT1
000099073 593__ $$aAnalysis$$c2021$$dQ1
000099073 591__ $$aMATHEMATICS$$b5 / 333 = 0.015$$c2021$$dQ1$$eT1
000099073 593__ $$aAlgebra and Number Theory$$c2021$$dQ1
000099073 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000099073 700__ $$aLizama, C.
000099073 700__ $$0(orcid)0000-0001-9430-343X$$aMiana, P.J.$$uUniversidad de Zaragoza
000099073 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000099073 773__ $$g35, 1 (2021), [32 pp]$$pAdvances in Difference Equations$$tAdvances in Difference Equations$$x1687-1839
000099073 8564_ $$s337869$$uhttps://zaguan.unizar.es/record/99073/files/texto_completo.pdf$$yVersión publicada
000099073 8564_ $$s1857961$$uhttps://zaguan.unizar.es/record/99073/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
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000099073 951__ $$a2023-05-18-15:19:42
000099073 980__ $$aARTICLE