New solutions for four novel generalized nonlinear fractional fifth-order equations

In this paper, new four fifth-order fractional nonlinear equations are derived and investigated. The fractional terms are defined in the conformable sense and these equations are then solved using two effective methods, namely, the sub-equation and the generalized Kudryashov methods. These methods were tested on the proposed models and succeeded in finding new solutions with different values of parameters. A graphical representation of some results is provided and proves the efficiency and applicability of the proposed methods for providing solutions with known physical behavior. These methods are good candidates for solving other similar problems in the future.