Quasi‐Relativistic Heat Equation via Lévy Stable Distributions: Exact Solutions

DOI10.1002/andp.201700374arXiv1610.05605WikidataQ116677398 ScholiaQ116677398MaRDI QIDQ6055018

Karol A. Penson, Andrzej Horzela, Giuseppe Dattoli, Katarzyna Górska

Publication date: 25 October 2023

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.05605

zbMATH Keywords

Lévy stable distributionquasi-relativistic diffusionquasi-relativistic heat equation

Mathematics Subject Classification ID

Quantum theory (81-XX)

Related Items (1)

Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials

Cites Work

• Repeated derivatives of composite functions and generalizations of the Leibniz rule
• The stretched exponential behavior and its underlying dynamics. The phenomenological approach
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• Thermoelasticity with Finite Wave Speeds
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• Nonlinear heat conduction equations with memory: Physical meaning and analytical results
• Theory of relativistic heat polynomials and one-sided Lévy distributions
• Lévy flights and nonlocal quantum dynamics
• Special Functions and Orthogonal Polynomials
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