An Intelligence Computational Approach for the Fractional 4D Chaotic Financial Model

作     者：Wajaree Weera Thongchai Botmart Charuwat Chantawat Zulqurnain Sabir Waleed Adel Muhammad Asif Zahoor Raja Muhammad Kristiawan 

作者机构：Department of MathematicsFaculty of ScienceKhon Kaen UniversityKhon Kaen40002Thailand Department of Mathematics and StatisticsHazara UniversityMansehraPakistan Department of Mathematical SciencesUnited Arab Emirates UniversityP.O.Box 15551Al AinUAE Department of Mathematics and Engineering PhysicsFaculty of EngineeringMansoura UniversityEgypt UniversitéFrançaise D’EgypteIsmailia Desert RoadEl-ShoroukCairoEgypt Future Technology Research CenterNational Yunlin University of Science and Technology123 University RoadSection 3DouliouYunlin 64002Taiwan Science of EducationUniversitas BengkuluBengkulu CityIndonesia 

出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)

年 卷 期：2023年第74卷第2期

页      面：2711-2724页

核心收录：

学科分类：0711[理学-系统科学] 12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 081104[工学-模式识别与智能系统] 0714[理学-统计学（可授理学、经济学学位）] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 081202[工学-计算机软件与理论] 

基　　金：National Research Council of Thailand(NRCT)and Khon Kaen University:N42A650291 

主　　题：Financial model chaotic Levenberg-Marquardt Backpropagation fractional order artificial neural networks reference dataset 

摘      要：The main purpose of the study is to present a numerical approach to investigate the numerical performances of the fractional 4-D chaotic financial system using a stochastic *** stochastic procedures mainly depend on the combination of the artificial neural network(ANNs)along with the Levenberg-Marquardt Backpropagation(LMB)i.e.,ANNs-LMB *** fractional-order term is defined in the Caputo sense and three cases are solved using the proposed technique for different values of the fractional orderα.The values of the fractional order derivatives to solve the fractional 4-D chaotic financial system are used between 0 and *** data proportion is applied as 73%,15%,and 12%for training,testing,and certification to solve the chaotic fractional *** acquired results are verified through the comparison of the reference solution,which indicates the proposed technique is efficient and *** 4-D chaotic model is numerically solved by using the ANNs-LMB technique to reduce the mean square error(MSE).To authenticate the exactness,and consistency of the technique,the obtained performances are plotted in the figures of correlation measures,error histograms,and *** these figures,it can be witnessed that the provided technique is effective for solving such models to give some new insight into the physical behavior of the model.