Eigenfunctions of the time‐fractional diffusion‐wave operator

DOI10.1002/MMA.6874zbMath1470.35393OpenAlexW3089821158MaRDI QIDQ5003920

M. Manuela Rodrigues, Milton Ferreira, Yu. F. Luchko, Nelson Vieira

Publication date: 30 July 2021

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

Full work available at URL: https://doi.org/10.1002/mma.6874

zbMATH Keywords

generalized hypergeometric seriesCaputo fractional derivativestime-fractional diffusion-wave operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Fractional derivatives and integrals (26A33) Integral representations of solutions to PDEs (35C15) Series solutions to PDEs (35C10) Initial value problems for second-order hyperbolic equations (35L15) Appell, Horn and Lauricella functions (33C65) Fractional partial differential equations (35R11)

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Time-fractional diffusion equation with \(\psi\)-Hilfer derivative

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