applications of he’s variational principle method and the kudryashov method to nonlinear timefractional differential equations

In this paper, we establish exact solutions for the time-fractional klein-gordon equation, and the time-fractional hirota-satsuma coupled kdv system. the he’s semiinverse and the kudryashov methods are used to construct exact solutions of these equations.we apply he’s semiinverse method to establish a variational theory for the time-fractional klein-gordon equation, and the time-fractional hirota-satsuma coupled kdv system. based on this formulation, a solitary solution can be easily obtained using the ritz method. the kudryashov method is used to construct exact solutions of the time-fractional klein-gordon equation, and the time-fractional hirota-satsuma coupled kdv system.moreover, it is observed that the suggested techniques are compatible with the physical nature of such problems.