Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 393, Issue 2, Pages 341-347Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.04.006
Keywords
Fractional differential equations; Erdelyi-Kober operators; Lie symmetry analysis; Riemann-Liouville fractional derivative
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Funding
- Department of Science and Technology (DST), Government of India, New Delhi under DST-PURSE
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A systematic investigation to derive Lie point symmetries to time fractional generalized Burgers as well as Korteweg-de Vries equations is presented. Using the obtained Lie point symmetries we have shown that each of them has been transformed into a nonlinear ordinary differential equation of fractional order with a new independent variable. The derivative corresponding to time fractional in the reduced equation is usually known as the Erdelyi-Kober fractional derivative. (C) 2012 Elsevier Inc. All rights reserved.
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