A novel algebraic characteristic of fractional resolvent families

DOI10.1007/S00233-018-9964-ZzbMath1492.47043OpenAlexW2895161187MaRDI QIDQ2334417

Miao Li, Chuang Chen, Jie Mei

Publication date: 7 November 2019

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-018-9964-z

zbMATH Keywords

Laplace transformexponential stabilityfractional Cauchy problemsfractional resolvent familiesalgebraic functional equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Stability of solutions to ordinary differential equations (34D20) Linear differential equations in abstract spaces (34G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Fractional ordinary differential equations (34A08)

Related Items (4)

Abstract fractional inverse source problem of order \(0<\alpha <1\) in a Banach space ⋮ Growth bounds for \(\alpha \)-times resolvent families ⋮ Asymptotic stability of Riemann-Liouville fractional resolvent families ⋮ Perturbation properties of fractional strongly continuous cosine and sine family operators

Cites Work

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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On spectral inclusions and approximations of \(\alpha\)-times resolvent families
• On general fractional abstract Cauchy problem
• On fractional resolvent operator functions
• A new characteristic property of Mittag-Leffler functions and fractional cosine functions

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