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Lie symmetry analysis, explicit solutions and conservation laws of the time fractional Clannish Random Walker’s Parabolic equation

Panpan Wang

https://orcid.org/0000-0002-5056-6075

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

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Wenrui Shan

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

E-mail Address: shwr@bupt.edu.cn

Corresponding author.

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Ying Wang

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

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, and

Qianqian Li

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

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https://doi.org/10.1142/S0217984921500743Cited by:2 (Source: Crossref)

Abstract

In this paper, we mainly study the symmetry analysis and conservation laws of the time fractional Clannish Random Walker’s Parabolic (CRWP) equation. The vector fields and similarity reduction of the time fractional CRWP equation are obtained. In addition, based on the power series theory, a simple and effective approach for constructing explicit power series solutions is proposed. Finally, by use of the new conservation theorem, the conservation laws of the time fractional CRWP equation are constructed.

Keywords:

PACS: 52.35.Mw, 02.20.Sv

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