On the Time Fractional Generalized Fisher Equation: Group Similarities and Analytical Solutions
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Date
2016
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Iop Publishing Ltd
Open Access Color
Green Open Access
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No
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Impulse
Top 10%
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Top 10%
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Top 10%
Abstract
In this letter, the Lie point symmetries of the time fractional Fisher (TFF) equation have been derived using a systematic investigation. Using the obtained Lie point symmetries, TFF equation has been transformed into a different nonlinear fractional ordinary differential equations with the Erdelyi-Kober fractional derivative which depends on the parameter a. After that some invariant solutions of underlying equation are reported.
Description
Hashemi, Mir Sajjad/0000-0002-5529-3125
ORCID
Keywords
Erdelyi Kober Derivative, Time Fractional Fisher Equation, Lie Point Symmetry, Erdélyi-Kober derivative, time fractional Fisher equation, Lie point symmetry, Methods of ordinary differential equations applied to PDEs, Fractional partial differential equations, Symmetries, invariants, etc. in context of PDEs
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Hashemi, M. S.; Baleanu, D., "On the Time Fractional Generalized Fisher Equation: Group Similarities and Analytical Solutions", Communications in Theoretical Physics, Vol. 65, No. 1, pp. 11-16, (2016).
WoS Q
Q2
Scopus Q
Q1
OpenCitations Citation Count
31
Source
Communications in Theoretical Physics
Volume
65
Issue
1
Start Page
11
End Page
16
PlumX Metrics
Citations
CrossRef : 15
Scopus : 34
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Mendeley Readers : 10
SCOPUS™ Citations
35
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Web of Science™ Citations
36
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Page Views
1
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