A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation

DOI10.1007/S13540-022-00087-3zbMath1503.35273arXiv2110.11909OpenAlexW3210605465MaRDI QIDQ2110551

Marianito R. Rodrigo

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11909

zbMATH Keywords

heat equationwave equationfractional calculustime-fractional diffusion-wave equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Heat equation (35K05) Wave equation (35L05) Fractional partial differential equations (35R11)

Cites Work

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• On fractional matrix exponentials and their explicit calculation
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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The fundamental solutions for the fractional diffusion-wave equation
• The Wright functions as solutions of the time-fractional diffusion equation.
• An historical perspective on fractional calculus in linear viscoelasticity
• Fractional diffusion: probability distributions and random walk models

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