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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 197, Number 3, Pages 397–416
DOI: https://doi.org/10.4213/tmf9447
(Mi tmf9447)
 

This article is cited in 3 scientific papers (total in 3 papers)

Symmetry analysis of variable-coefficient time-fractional nonlinear systems of partial differential equations

R. K. Guptaab, K. Singlac

a Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab, India
b Department of Mathematics, School of Physical and Mathematical Sciences, Central University of Haryana, Mahendergarh, Haryana, India
c School of Mathematics, Thapar University, Patiala, Punjab, India
Full-text PDF (502 kB) Citations (3)
References:
Abstract: We investigate some well-known variable-coefficient time-fractional nonlinear systems of partial differential equations using the Lie symmetry method and derive their symmetries and reductions into fractional nonlinear systems of ordinary differential equations.
Keywords: symmetry analysis, time-fractional nonlinear systems, variable-coefficient partial differential equations, Erdélyi–Kober operators.
Funding agency Grant number
University Grants Commission F.30-105/2016 (SA-II)
The research of R. K. Gupta was sponsored by the University Grants Commission (Research Award Scheme F.30-105/2016 (SA-II)).
Received: 14.08.2017
Revised: 15.02.2018
English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 3, Pages 1737–1754
DOI: https://doi.org/10.1134/S004057791812005X
Bibliographic databases:
Document Type: Article
PACS: 02.20.Qs, 45.10.Hj
Language: Russian
Citation: R. K. Gupta, K. Singla, “Symmetry analysis of variable-coefficient time-fractional nonlinear systems of partial differential equations”, TMF, 197:3 (2018), 397–416; Theoret. and Math. Phys., 197:3 (2018), 1737–1754
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9447
  • https://www.mathnet.ru/eng/tmf/v197/i3/p397
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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