Well-posedness of abstract distributed-order fractional diffusion equations

DOI10.3934/cpaa.2014.13.605zbMath1280.26013OpenAlexW2323144046MaRDI QIDQ380154

Junxiong Jia, Kexue Li, Ji-Gen Peng

Publication date: 13 November 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.2014.13.605

zbMATH Keywords

sectorial operatorfractional power\(\alpha\)-times resolvent familydistributed-order fractional equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33)

Related Items (11)

Finite difference/spectral approximations for the distributed order time fractional reaction-diffusion equation on an unbounded domain ⋮ Finite difference/finite element methods for distributed-order time fractional diffusion equations ⋮ Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations ⋮ Backward problem for a time-space fractional diffusion equation ⋮ Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators ⋮ Nonlocal problem for fractional stochastic evolution equations with solution operators ⋮ Harnack's inequality for a space-time fractional diffusion equation and applications to an inverse source problem ⋮ WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation ⋮ An RBF based meshless method for the distributed order time fractional advection-diffusion equation ⋮ Reconstruction of the temporal component in the source term of a (time-fractional) diffusion equation ⋮ On the initial value problem of fractional stochastic evolution equations in Hilbert spaces

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