%0 Journal Article %T Integral Balance Methods for StokesĄŻ First Equation Described by the Left Generalized Fractional Derivative %J Physics | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/physics1010015 %X In this paper, the integral balance methods of the StokesĄŻ first equation have been presented. The approximate solution of the fractional StokesĄŻ first equation using the heat balance integral method has been proposed. The approximate solution of the fractional StokesĄŻ first equation using the double integral methods has been proposed. The generalized fractional time derivative operator has been used. The graphical representations of the cubic profile and the quadratic profile for the StokesĄŻ first problem have been provided. The impacts of the orders of the generalized fractional derivative in the StokesĄŻ first problem have been investigated. The exponent of the assumed profile for the StokesĄŻ first equation has been discussed. View Full-Tex %U https://www.mdpi.com/2624-8174/1/1/15