Existence of Approximate Solutions to Nonlinear Lorenz System under Caputo-Fabrizio Derivative

作     者：Khursheed J.Ansari Mustafa Inc K.H.Mahmoud Eiman 

作者机构：Department of MathematicsCollege of ScienceKing Khalid UniversityAbha61413Saudi Arabia Department of Computer EngineeringBiruni UniversityIstanbul34010Turkey Department of MathematicsScience FacultyFirat UniversityElazig23119Turkey Department of Medical ResearchChina Medical UniversityTaichung40402Taiwan Department of PhysicsCollege of Khurma University CollegeTaif UniversityP.O.Box 11099Taif21944Saudi Arabia Department of MathematicsUniversity of MalakandChakdara Dir(L)Khyber Pakhtunkhwa18000Pakistan 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2023年第135卷第5期

页      面：1669-1684页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：support of Taif University Researchers Supporting Project No. (TURSP-2020/162),Taif University,Taif,Saudi Arabia funding this work through research groups program under Grant No.R.G.P.1/195/42 

主　　题：Lorenz system CFFD fixed point approach approximate solution 

摘      要：In this article,we developed sufficient conditions for the existence and uniqueness of an approximate solution to a nonlinear system of Lorenz equations under Caputo-Fabrizio fractional order derivative(CFFD).The required results about the existence and uniqueness of a solution are derived via the fixed point approach due to Banach and ***,we enriched our work by establishing a stable result based on the Ulam-Hyers(U-H)***,the approximate solution is computed by using a hybrid method due to the Laplace transform and the Adomian decomposition *** computed a few terms of the required solution through the mentioned method and presented some graphical presentation of the considered problem corresponding to various fractional *** results of the existence and uniqueness tests for the Lorenz system under CFFD have not been studied ***,the suggested method results for the proposed system under the mentioned derivative are ***,the adopted technique has some useful features,such as the lack of prior discrimination required by wavelet *** proposed method does not depend on auxiliary parameters like the homotopy method,which controls the *** proposed method is rapidly convergent and,in most cases,it has been used as a powerful technique to compute approximate solutions for various nonlinear problems.