Fractional relaxation equations on Banach spaces

DOI10.1016/j.aml.2009.08.019zbMath1214.34047OpenAlexW2035705583MaRDI QIDQ710978

Carlos Lizama, Humberto E. Prado

Publication date: 25 October 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.08.019

zbMATH Keywords

fractional evolution equationsderivatives of fractional orderregularized resolvents

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10)

Related Items (7)

A class of abstract fractional relaxation equations ⋮ Perturbation theory for abstract Volterra equations ⋮ Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations ⋮ On a class of abstract time-fractional equations on locally convex spaces ⋮ Regularization of a backward problem for composite fractional relaxation equations ⋮ Initial value problems for some classes of linear evolution equations with several fractional derivatives ⋮ Approximate controllability for semilinear composite fractional relaxation equations

Cites Work

• Unnamed Item
• Unnamed Item
• On the asymptotic behavior of regularized operator families
• \((a,k)\)-regularized \(C\)-resolvent families: regularity and local properties
• Fractals and fractional calculus in continuum mechanics
• Fractional-order evolutionary integral equations
• On perturbation of \(K\)-regularized resolvent families.
• On Mittag-Leffler-type functions in fractional evolution processes
• Rates of approximation and ergodic limits of regularized operator families
• Regularized solutions for abstract Volterra equations
• Asymptotic behavior of \((a,k)\)-regularized resolvent families at zero
• Evolutionary Integral Equations and Applications
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• On duality and spectral properties of (a, k)-regularized resolvents
• On approximation and representation of \(k\)-regularized resolvent families

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