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Discrete subdiffusion equations with memory (Q2234332)

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Language	Label	Description	Also known as
English	Discrete subdiffusion equations with memory	scientific article

Statements

scholarly article

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Discrete subdiffusion equations with memory (English)

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Applied Mathematics and Optimization

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publication date

19 October 2021

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zbMATH Keywords

fractional differential equations

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equation with memory

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resolvent families

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backward operator

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00245-021-09753-z

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Fractional Cauchy problem with memory effects

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Almost automorphic mild solutions to fractional partial difference-differential equations

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A subordination principle on Wright functions and regularized resolvent families

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On well-posedness of vector-valued fractional differential-difference equations

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On Riemann and Caputo fractional differences

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Initial value problems in discrete fractional calculus

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Subordination principle for a class of fractional order differential equations

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An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid

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Qualitative theory for Volterra difference equations

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Finite Element Methods for Integrodifferential Equations

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Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations

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Asymptotic analysis for Volterra difference equations

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Linear integro-differential equations in Banach spaces

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Algorithms for the fractional calculus: a selection of numerical methods

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One-Parameter Semigroups for Linear Evolution Equations

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Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions

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Discrete Fractional Calculus

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A general theory of heat conduction with finite wave speeds

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The functional calculus for sectorial operators

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Maximum principle for general controlled systems driven by fractional Brownian motions

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The Cauchy problem for discrete time fractional evolution equations

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Mittag-Leffler functions and their applications

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Discrete maximal regularity of time-stepping schemes for fractional evolution equations

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Spectral criteria for solvability of boundary value problems and positivity of solutions of time-fractional differential equations

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Semilinear subdiffusion with memory in the one-dimensional case

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Solvability of linear boundary value problems for subdiffusion equations with memory

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Semilinear subdiffusion with memory in multidimensional domains

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On fractional powers of generators of fractional resolvent families

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Regularized solutions for abstract Volterra equations

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The Poisson distribution, abstract fractional difference equations, and stability

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Maximal regularity in \(l_{p}\) spaces for discrete time fractional shifted equations

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Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes

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Solutions of abstract integro‐differential equations via Poisson transformation

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Discretized Fractional Calculus

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Convolution quadrature and discretized operational calculus. I

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Time discretization of an evolution equation via Laplace transforms

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Time discretization via Laplace transformation of an integro-differential equation of parabolic type

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The random walk's guide to anomalous diffusion: A fractional dynamics approach

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Hölder continuous solutions for fractional differential equations and maximal regularity

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Time discretization of fractional subdiffusion equations via fractional resolvent operators

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A subordination principle for subdiffusion equations with memory

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Evolutionary Integral Equations and Applications

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Time Discretization of an Integro-Differential Equation of Parabolic Type

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The solvability and optimal controls for fractional stochastic differential equations driven by Poisson jumps via resolvent operators

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An Abstract Semilinear Volterra Integrodifferential Equation

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Uniform $l^{1} $ convergence in the Crank-Nicolson method of a linear integro-differential equation for viscoelastic rods and plates

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00245-021-09753-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:2234332

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