The Caputo–Fabrizio time-fractional Sharma–Tasso–Olver–Burgers equation and its valid approximations

作     者：Kamyar Hosseini Mousa Ilie Mohammad Mirzazadeh Dumitru Baleanu Choonkil Park Soheil Salahshour Kamyar Hosseini;Mousa Ilie;Mohammad Mirzazadeh;Dumitru Baleanu;choonkil Park;Soheil Salahshour

作者机构：Department of MathematicsRasht BranchIslamic Azad UniversityRashtIran Department of MathematicsNear East University TRNCMersin ioTurkey Department of Engineering SciencesFaculty of Technology and EngineeringEast of GuilanUniversity of GuilanP.C.44891-63157 Rudsar-VajargahIran Department of MathematicsFaculty of Arts and SciencesCankaya UniversityAnkara06530Turkey Institute of Space SciencesMagurele-BucharestR.76900Romania Research Institute for Natural SciencesHanyang UniversitySeoul 04763Republic of Korea Faculty of Engineering and Natural SciencesBahcesehir UniversityIstanbulTurkey 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2022年第74卷第7期

页      面：21-29页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：time-fractional Sharma-Tasso-Olver-Burgers equation Caputo-Fabrizio context mixed approach existence and uniqueness valid approximations 

摘      要：Studying the dynamics of solitons in nonlinear time-fractional partial differential equations has received substantial attention,in the last *** 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 *** existence and uniqueness of the solution of the time-fractional STOB equation in the CF context are investigated by demonstrating the Lipschitz condition forφ(x,t;u)as the kernel and giving some *** illustrate the CF operator effect on the dynamics of the obtained solitons,several two-and threedimensional plots are formally *** is shown that the mixed approach is capable of producing valid approximations to the time-fractional STOB equation in the CF context.