Abstract differential operators generating fractional resolvent families

DOI10.1007/s10114-014-1279-8zbMath1302.47067OpenAlexW2112833607MaRDI QIDQ477894

Marko Kostić

Publication date: 10 December 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-1279-8

zbMATH Keywords

abstract time-fractional equationscoercive differential operatorsfractional resolvent families

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Groups and semigroups of linear operators, their generalizations and applications (47D99) Integrated semigroups (47D62) (C)-semigroups, regularized semigroups (47D60)

Related Items (5)

Perturbation theory for abstract Volterra equations ⋮ On a class of abstract time-fractional equations on locally convex spaces ⋮ Unnamed Item ⋮ Degenerate abstract Volterra equations in locally convex spaces ⋮ On a class of time-fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrated semigroups
• The wave equation in \(L^{p}\)-spaces
• Matrices of operators and regularized cosine functions
• Fractional evolution equations governed by coercive differential operators
• \((a,k)\)-regularized \(C\)-resolvent families: regularity and local properties
• Vector-valued Laplace transforms and Cauchy problems
• The Cauchy problem for higher-order abstract differential equations
• Existence families, functional calculi and evolution equations
• Integrated semigroups and related partial differential equations
• Abstract parabolic systems and regularized semigroups
• Coercive differential operators and fractionally integrated cosine functions.
• Regularized functional calculi, semigroups, and cosine functions for pseudodifferential operators
• Exponential asymptotics of the Mittag-Leffler function
• Abstract Volterra equations in locally convex spaces
• Regularized solutions for abstract Volterra equations
• Abstract time-fractional equations: existence and growth of solutions
• Regularized resolvent families
• The analyticity of abstract parabolic and correct systems
• Systems of abstract time-fractional equations
• The Cauchy Problem and a Generalization of the Hille-Yosida Theorem
• Evolutionary Integral Equations and Applications
• Semigroups of Operators and Polynomials of Generators of Bounded Strongly Continuous Groups
• The asymptotic expansion of integral functions defined by Taylor series
• Abstract degenerate Cauchy problems in locally convex spaces

This page was built for publication: Abstract differential operators generating fractional resolvent families