Lattice Dynamical Systems Associated with a Fractional Laplacian

DOI10.1080/01630563.2019.1602542zbMath1417.49031OpenAlexW2941646567WikidataQ128029106 ScholiaQ128029106MaRDI QIDQ5378389

Mahamadi Warma, Carlos Lizama, Valentin Keyantuo

Publication date: 12 June 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2019.1602542

zbMATH Keywords

lattice dynamical systemsoptimal well-posednessdiscrete fractional Laplacianfractional discrete Fisher and Newell-Whitehead-Segel equations

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Fractional derivatives and integrals (26A33) Markov semigroups and applications to diffusion processes (47D07) Lattice functional-differential equations (34K31)

Related Items

The semidiscrete damped wave equation with a fractional Laplacian ⋮ Fundamental solutions for semidiscrete evolution equations via Banach algebras ⋮ On a connection between the \(N\)-dimensional fractional Laplacian and 1-D operators on lattices ⋮ Space-time fractional diffusion equation associated with Jacobi expansions ⋮ Time-step heat problem on the mesh: asymptotic behavior and decay rates ⋮ Well-posedness for fractional Cauchy problems involving discrete convolution operators

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