Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 85, Issue 5, Pages 849-860Publisher
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-015-1103-8
Keywords
Lie symmetry analysis; Fractional partial differential equation; Riemann-Liouville fractional derivative; Mittag-Leffler function; Erdelyi-Kober operators
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Funding
- Council of Scientific and Industrial Research (CSIR), Government of India, New Delhi
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A systematic method is given to derive Lie point symmetries of time-fractional partial differential equation with Riemann-Liouville fractional derivative and its applicability illustrated through (i) time-fractional diffusive equation and (ii) time-fractional cylindrical Korteweg-de Vries equation. Using the Lie point symmetries obtained, we show that each of them has been transformed into ordinary differential equation of fractional order with a new independent variable. We also explain how exact or invariant solutions can be derived from the obtained point symmetries.
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