期刊
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
卷 20, 期 1, 页码 212-231出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/fca-2017-0011
关键词
fractional calculus; Riemann-Liouville fractional operator; fractional ordinary and partial differential equations; Lie theory; symmetries
资金
- John Templeton Foundation
- MINECO, Spain [FIS2015-63966]
- ICMAT Severo Ochoa project (MINECO) [SEV-2015-0554]
We provide a general theoretical framework allowing us to extend the classical Lie theory for partial differential equations to the case of equations of fractional order. We propose a general prolongation formula for the study of Lie symmetries in the case of an arbitrary finite number of independent variables. We also prove the Lie theorem in the case of fractional differential equations, showing that the proper space for the analysis of these symmetries is the infinite dimensional jet space.
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