Fractional evolution equations governed by coercive differential operators

DOI10.1155/2009/438690zbMath1168.47036OpenAlexW2005881380WikidataQ58646601 ScholiaQ58646601MaRDI QIDQ1030625

Miao Li, Fu-Bo Li, Quan Zheng

Publication date: 2 July 2009

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55867

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Linear differential equations in abstract spaces (34G10) (C)-semigroups, regularized semigroups (47D60)

Related Items (9)

Perturbation theory for abstract Volterra equations ⋮ Abstract Volterra equations in locally convex spaces ⋮ On a class of abstract time-fractional equations on locally convex spaces ⋮ A novel characteristic of solution operator for the fractional abstract Cauchy problem ⋮ Fractional abstract Cauchy problems ⋮ Abstract differential operators generating fractional resolvent families ⋮ Degenerate abstract Volterra equations in locally convex spaces ⋮ On a class of time-fractional differential equations ⋮ Abstract time-fractional equations: existence and growth of solutions

Cites Work

• Integrated semigroups
• Integrodifferential equation which interpolates the heat equation and the wave equation. II
• Abstract parabolic systems and regularized semigroups
• Applications of semigroups of operators to non-elliptic differential operators
• Coercive differential operators and fractionally integrated cosine functions.
• Regularized resolvent families
• Integrated semigroups and differential operators on \(L^ p\) spaces
• L p -Boundedness of a Certain Class of Multipliers Associated with Curves on the Plane. II
• Semigroups of Operators and Polynomials of Generators of Bounded Strongly Continuous Groups
• The Spectrum of Partial Differential Operators on L p (R n )
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