WAVES IN RANDOM AND COMPLEX MEDIA, 2021 (SCI-Expanded)
In this study, lie symmetry analysis, conservation theorem and improved fractional sub-equation method are discussed. The given methods are applied to the time fractional Ito equation. Firstly, we found Lie symmetries of the Ito equation and the given equation is reduced to fractional ordinary differential equation with the help of Erdelyi-Kober fractional differential operator and Erdelyi-Kober fractional integral operator. Conservation laws are obtained. Finally, we obtained the exact solutions of the Ito equation in the form of hyperbolic, trigonometric, rational functions. We obtained the solutions with the help of the improved fractional sub-equation method.