Time discretization of fractional subdiffusion equations via fractional resolvent operators
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Publication:2197871
DOI10.1016/J.CAMWA.2020.04.024zbMath1446.65075OpenAlexW3028371878MaRDI QIDQ2197871
Publication date: 1 September 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.04.024
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Related Items (8)
Existence and uniqueness of solutions for a class of discrete-time fractional equations of order \(2<\alpha \leq 3\) ⋮ Properties of vector-valued \(\tau \)-discrete fractional calculus and its connection with Caputo fractional derivatives ⋮ Discretization of C0$$ {C}_0 $$‐semigroups and discrete semigroups of operators in Banach spaces ⋮ Mittag-Leffler stability of numerical solutions to time fractional ODEs ⋮ Time discretization and convergence to superdiffusion equations via Poisson distribution ⋮ Discrete subdiffusion equations with memory ⋮ Subordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation ⋮ Explicit representation of discrete fractional resolvent families in Banach spaces
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