On close to scalar families for fractional evolution equations: zero-one law
DOI10.1007/s00233-019-10025-0zbMath1484.47072OpenAlexW2946513335WikidataQ127873657 ScholiaQ127873657MaRDI QIDQ2003189
Laura R. Gambera, Carlos Lizama, Andréa Prokopczyk
Publication date: 16 July 2019
Published in: Semigroup Forum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00233-019-10025-0
\(C_0\)-semigroupscosine families\(\alpha \)-resolvent families\(\beta \)-times integrated semigroupsone-parameter families of bounded operatorsone-zero law
One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Integrated semigroups (47D62)
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Cites Work
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- Around Schwenninger and Zwart's zero-two law for cosine families
- Fractional resolvents and fractional evolution equations
- Evolutionary integral equations and applications
- Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
- On a functional equation associated with \((a, k)\)-regularized resolvent families
- A short proof of the zero-two law for cosine functions
- Bounded cosine functions close to continuous scalar bounded cosine functions
- On Wallen-type formulae for integrated semigroups and sine functions
- A novel characteristic of solution operator for the fractional abstract Cauchy problem
- On fractional powers of generators of fractional resolvent families
- Zero-two law for cosine families
- A note on property of the Mittag-Leffler function
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Existence, regularity and representation of solutions of time fractional diffusion equations
- Completely monotone generalized Mittag-Leffler functions
- On fractional resolvent operator functions
- On close-to-scalar one-parameter cosine families
- A characteristic of fractional resolvents
- General fractional differential equations of order \(\alpha \in (1,2)\) and type \(\beta \in [0,1\) in Banach spaces]
- Almost automorphic mild solutions to fractional differential equations
- Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay
- Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space
- ON COSINE FAMILIES CLOSE TO SCALAR COSINE FAMILIES
- Vector-valued Laplace Transforms and Cauchy Problems
- Less than one implies zero
- On duality and spectral properties of (a, k)-regularized resolvents
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