Abstract
On the basis of Lie group theory, (1 + N)-dimensional time-fractional partial differential equations are studied and the expression of is given. As applications, two special forms of nonlinear time-fractional diffusion-convection equations are investigated by Lie group analysis method. Then the equations are reduced into fractional ordinary differential equations under group transformations. Therefore, the invariant solutions and some exact solutions are obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 295-300 |
| Number of pages | 6 |
| Journal | Communications in Theoretical Physics |
| Volume | 68 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Sep 2017 |
Keywords
- Lie group analysis
- Riemann Liouville derivative
- invariant solution
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