Abstract
In this study, we considered with the time fractional WKI equation, Lie group analysis method are applied to frational WKI equation with the Riemann-Liouville derivative. The invariance properties of this equation were found. Besides we present corresponding infinitesimal generators for the WKI equation. And then the symmetry reductions are constructed with the Erdelyi-Kober fractional operator. Furthermore, we calculate Lie point symmetries associated the nonlocal conserved vectors utilizing the new conservation theorem method for two different cases of time fractional.
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