On modeling with multiplicative differential equations

作     者：Agamirza E.Bashirov Emine Misirli Ycel Tandogdu Ali zyapici 

作者机构：Department of MathematicsEastern Mediterranean University Department of MathematicsEge University Department of Computer EngineeringLefke European University 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2011年第26卷第4期

页      面：425-438页

核心收录：

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

基　　金：Supported by B-type project MEKB-09-05 

主　　题：Gompertz function elasticity exponential arithmetic multiplicative calculus growth. 

摘      要：This work is aimed to show that various problems from different fields can be modeled more efficiently using multiplicative calculus, in place of Newtonian calculus. Since multiplicative calculus is still in its infancy, some effort is put to explain its basic principles such as exponential arithmetic, multiplicative calculus, and multiplicative differential equations. Examples from finance, actuarial science, economics, and social sciences are presented with solutions using multiplicative calculus concepts. Based on the encouraging results obtained it is recommended that further research into this field be vested to exploit the applicability of multiplicative calculus in different fields as well as the development of multiplicative calculus concepts.