Group analysis of the time fractional generalized diffusion equation

Elham Lashkarian and S. Reza Hejazi

Physica A: Statistical Mechanics and its Applications, 2017, vol. 479, issue C, 572-579

Abstract: This paper is concerned with the time fractional derivatives (Riemann–Liouville) of non-linear anomalous diffusion equation. Using Lie symmetry method, we show this equation can be reduced to Erdelyi–Kober fractional derivatives type. Then all of the symmetry vector fields and some exact solutions of our time fractional non-linear equation are obtained.

Keywords: Lie symmetry; Fractional derivatives; Erdelyi–Kober operators; Optimal system (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:479:y:2017:i:c:p:572-579

DOI: 10.1016/j.physa.2017.02.062

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