Invariance properties of time fractional linear diffusion-wave equations

Nomuun Bayanmunkh; Khongorzul Dorjgotov; Gantulga Tsedendorj; Uuganbayar Zunderiya

doi:10.2991/978-94-6463-330-6_6

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Invariance properties of time fractional linear diffusion-wave equations

Authors

Nomuun Bayanmunkh¹, Khongorzul Dorjgotov², Gantulga Tsedendorj¹^{, *}, Uuganbayar Zunderiya¹

¹Department of Mathematics, School of Arts and Sciences, National University of Mongolia, Ulaanbaatar, Mongolia

²Department of Applied Mathematics, School of Engineering and Applied Sciences, National University of Mongolia, Ulaanbaatar, Mongolia

^*Corresponding author. Email: gantulga@smcs.num.edu.mn

Corresponding Author

Gantulga Tsedendorj

Available Online 31 December 2023.

DOI: 10.2991/978-94-6463-330-6_6 How to use a DOI?
Keywords: Time fractional differential equation; diffusion wave equation; invariance properties
Abstract: We study a class of time fractional diffusion-wave equations with variable coefficients using Lie symmetry analysis. We obtain not only infinitesimal symmetries but also a complete group classification and a classification of group invariant solutions of this class of equations. Group invariant solutions are given explicitly corresponding to every element in an optimal system of Lie algebras generated by infinitesimal symmetries of equations in the class. We express the solutions in terms of Mittag-Leffler functions, generalized Wright functions, and Fox H-functions. These solutions contain previously known solutions as particular cases.
Copyright: © 2023 The Author(s)
Open Access: Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title: Proceedings of the International Conference on Applied Sciences and Engineering (ICASE 2023)
Series: Atlantis Highlights in Engineering
Publication Date: 31 December 2023
ISBN: 978-94-6463-330-6
ISSN: 2589-4943
DOI: 10.2991/978-94-6463-330-6_6 How to use a DOI?
Open Access: Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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ris enw bib

TY  - CONF
AU  - Nomuun Bayanmunkh
AU  - Khongorzul Dorjgotov
AU  - Gantulga Tsedendorj
AU  - Uuganbayar Zunderiya
PY  - 2023
DA  - 2023/12/31
TI  - Invariance properties of time fractional linear diffusion-wave equations
BT  - Proceedings of the International Conference on Applied Sciences and Engineering (ICASE 2023)
PB  - Atlantis Press
SP  - 37
EP  - 51
SN  - 2589-4943
UR  - https://doi.org/10.2991/978-94-6463-330-6_6
DO  - 10.2991/978-94-6463-330-6_6
ID  - Bayanmunkh2023
ER  -

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