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 

机构地区：[1]Department of Mathematics,Rasht Branch,Islamic Azad University,Rasht,Iran [2]Department of Mathematics,Near East University TRNC,Mersin io,Turkey [3]Department of Engineering Sciences,Faculty of Technology and Engineering,East of Guilan,University of Guilan,P.C.44891-63157 Rudsar-Vajargah,Iran [4]Department of Mathematics,Faculty of Arts and Sciences,Cankaya University,Ankara,06530,Turkey [5]Institute of Space Sciences,Magurele-Bucharest,R.76900,Romania [6]Research Institute for Natural Sciences,Hanyang University,Seoul 04763,Republic of Korea [7]Faculty of Engineering and Natural Sciences,Bahcesehir University,Istanbul,Turkey

出　　处：《Communications in Theoretical Physics》2022年第7期21-29,共9页理论物理通讯（英文版）

摘　　要：Studying 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 forφ(x,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 threedimensional 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.

关 键 词：time-fractional Sharma-Tasso-Olver-Burgers equation Caputo-Fabrizio context mixed approach existence and uniqueness valid approximations 

分 类 号：O175[理学—数学]