Butt, Asma RashidZaka, JaweriaAkgul, AliEl Din, Sayed M.2024-12-242024-12-2420232211-3797https://doi.org/10.1016/j.rinp.2023.106543https://hdl.handle.net/20.500.12604/6745The Atangana-Baleanu conformable differential operator has been employed in this study to solve the conformable fractional Sharma-Tasso-Olever equation. The new extended direct algebraic method has then been employed in order to obtain the precise solutions. The results are obtained as hyperbolic, trigonometric, and rational solutions. To see the fractional effects and dynamical behavior, graphic visualization has been demonstrated in 3D, contour, and 2D plots. The graphical representation of these data is very helpful in identifying the equation's true physical significance. The acquired results are brand-new and more broadly applicable, and they show the value of the advised strategy for the analytical handling of nonlinear problems in mathematical physics and engineering. They are helpful in several circumstances for a better understanding of the dynamics of waves that are propagating.eninfo:eu-repo/semantics/openAccessAtangana-Baleanu conformable differentialoperatorFractional wave transformSTO equationNew extended algebraic methodSoliton solutionsArticle50Q1WOS:001017812000001Q12-s2.0-8516061821510.1016/j.rinp.2023.106543