Fundamental solutions for discrete dynamical systems involving the fractional Laplacian

DOI10.1002/MMA.5685zbMath1423.35398OpenAlexW2947449254MaRDI QIDQ5240299

Mahamadi Warma, Carlos Lizama, Valentin Keyantuo, Jorge González-Camus

Publication date: 25 October 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5685

zbMATH Keywords

fundamental solutionsCaputo fractional derivativediscrete fractional LaplacianWright and Mittag-Leffler functions

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Fractional partial differential equations (35R11)

Related Items (6)

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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