- - - Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
- - - Department of Engineering Sciences, Faculty of Technology and Engineering, University of Guilan, East of Guilan, Rudsar, Iran
- - - Department of Mechanical Engineering, University of Guilan, P. O. Box ۳۷۵۶, Rasht, Iran

During the past years, a wide range of distinct approaches has been exerted to solve the nonlinear fractional differential equations (NLFDEs). In this paper, the invariant subspace method (ISM) in conjunction with the fractional Sumudu’s transform (FST) in the conformable context is formally adopted to deal with a nonlinear conformable time-fractional dispersive equation of the fifth order. As an outcome, a new exact solution of the model is procured, corroborating the exceptional performance of the hybrid scheme.

Fifth order time-fractional dispersive equation, Conformable context, Invariant subspace method, Fractional Sumudu’s transform, A new exact solution