On some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation

DOI10.3390/math5040076zbMath1474.35666OpenAlexW2768075861MaRDI QIDQ1649072

Yuri Luchko

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math5040076

zbMATH Keywords

integral representationfundamental solutionMellin-Barnes integralWright functiongeneralized Wright functionmulti-dimensional diffusion-wave equationneutral-fractional diffusion-wave equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Wave equation (35L05) Distribution theory (60E99) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

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