On general fractional abstract Cauchy problem

DOI10.3934/cpaa.2013.12.2753zbMath1273.34012OpenAlexW2320744166MaRDI QIDQ1951451

Yang Zhang, Zhan-Dong Mei, Ji-Gen Peng

Publication date: 6 June 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.2753

zbMATH Keywords

general fractional abstract Cauchy problemgeneral fractional resolventgeneral Riemann-Liouville fractional derivative

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)

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Subordination principle and approximation of fractional resolvents and applications to fractional evolution equations ⋮ Optimal Controls for Fractional Backward Nonlocal Evolution Systems ⋮ Convoluted fractional \(C\)-semigroups and fractional abstract Cauchy problems ⋮ A novel algebraic characteristic of fractional resolvent families

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