Optical solitons with full nonlinearity for the conformable space-time fractional Fokas-Lenells equation

In this paper, the extended direct algebraic method is applied to investigate the complex trigonometric and hyperbolic function solutions, especially dark, singular, combined dark-bright, combined singular, combined dark-singular, combined bright-singular solitons and periodic-singular solutions are obtained of the conformable space-time fractional Fokas-Lenells equation. The existence criteria for these solutions are also presented. The obtained results demonstrate that proposed strategy is powerful, effective and straightforward to work out new solutions of various types of nonlinear fractional partial differential equations (FPDEs) in applied sciences. Furthermore, the graphical representation of the solutions is also presented.