Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators using Caputo derivatives

DOI10.1080/17476933.2016.1250401zbMath1370.35261OpenAlexW2591290853MaRDI QIDQ5357794

Milton Ferreira, Nelson Vieira

Publication date: 12 September 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10400.8/3811

zbMATH Keywords

fundamental solutioneigenfunctionsfractional partial differential equationsCaputo derivativefractional Laplace and Dirac operators

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fundamental solutions to PDEs (35A08) Fractional derivatives and integrals (26A33) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

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