A characteristic of fractional resolvents

DOI10.2478/S13540-013-0048-1zbMath1314.34022OpenAlexW2025120887MaRDI QIDQ2347371

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

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-013-0048-1

zbMATH Keywords

fractional differential equationsfractional resolventsRiemann-Liouville fractional semigroup

Mathematics Subject Classification ID

Fractional ordinary differential equations (34A08)

Related Items (10)

General fractional differential equations of order \(\alpha \in (1,2)\) and type \(\beta \in [0,1\) in Banach spaces] ⋮ Regularity properties of mild solutions for a class of Volterra equations with critical nonlinearities ⋮ Fractional Cauchy problem with memory effects ⋮ Convoluted fractional \(C\)-semigroups and fractional abstract Cauchy problems ⋮ A subordination principle on Wright functions and regularized resolvent families ⋮ Uniform stability for fractional Cauchy problems and applications ⋮ On close to scalar families for fractional evolution equations: zero-one law ⋮ Existence of solutions for the semilinear abstract Cauchy problem of fractional order ⋮ A note on fractional powers of strongly positive operators and their applications ⋮ Sharp extensions and algebraic properties for solution families of vector-valued differential equations

Cites Work

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• Fractional resolvents and fractional evolution equations
• A novel characteristic of solution operator for the fractional abstract Cauchy problem
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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Cauchy problem for fractional diffusion equations
• On fractional resolvent operator functions
• Regularity of a fractional partial differential equation driven by space-time white noise
• Evolutionary Integral Equations and Applications
• Spectral analysis of fractional kinetic equations with random data.

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