Lie Algebra and Conservation Laws for the Time-fractional Heat Equation

The Lie symmetry method is applied to derive the point symmetries for the N-dimensional fractional heat equation. We find that that the numbers of symmetries and Lie brackets are reduced significantly as compared to the nonfractional order for all the dimensions. In fact for integer order linear hea...

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Veröffentlicht in:	arXiv.org 2020-01
Hauptverfasser:	Halder, Amlan K, Duba, C T, Leach, PGL
Format:	Artikel
Sprache:	eng
Schlagworte:	Brackets Conservation laws Lie groups Markov analysis Temperature Thermodynamics
Online-Zugang:	Volltext
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