Hosseini, KamyarIlie, MousaMirzazadeh, MohammadBaleanu, DumitruPark, ChoonkilSalahshour, Soheil2024-04-292024-04-292022Hosseini, Kamyar...et.al. (2022). "The Caputo-Fabrizio time-fractional Sharma-Tasso-Olver-Burgers equation and its valid approximations", Communications in Theoretical Physics, Vol.74, No.7.2536102http://hdl.handle.net/20.500.12416/8030Studying the dynamics of solitons in nonlinear time-fractional partial differential equations has received substantial attention, in the last decades. The main aim of the current investigation is to consider the time-fractional Sharma-Tasso-Olver-Burgers (STOB) equation in the Caputo-Fabrizio (CF) context and obtain its valid approximations through adopting a mixed approach composed of the homotopy analysis method (HAM) and the Laplace transform. The existence and uniqueness of the solution of the time-fractional STOB equation in the CF context are investigated by demonstrating the Lipschitz condition for φx,t;u as the kernel and giving some theorems. To illustrate the CF operator effect on the dynamics of the obtained solitons, several two- and three-dimensional plots are formally considered. It is shown that the mixed approach is capable of producing valid approximations to the time-fractional STOB equation in the CF context.eninfo:eu-repo/semantics/closedAccessCaputo-Fabrizio ContextExistence And UniquenessMixed ApproachTime-Fractional Sharma-Tasso-Olver-Burgers EquationValid ApproximationsArticle74710.1088/1572-9494/ac633e