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On modeling with multiplicative differential equations

查看全文 作  者:Agamirza [1]E.Bashirov;Emine [2]Misirli;Ycel [1]Tandogdu;Ali [3]zyapici 高影响力作者 机构地区:[1]Department of Mathematics,Eastern Mediterranean University;[2]Department of Mathematics,Ege University;[3]Department of Computer Engineering,Lefke European University高影响力机构 出  处:《Applied Mathematics(A Journal of Chinese Universities)》索引2011年第26卷第4期,共14页高影响力期刊 基  金:Supported by B-type project MEKB-09-05 摘  要:This work is aimed to show that various problems from different fields can be modeled more effciently 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. 关 键 词:微分方程 乘法 建模 社会科学 指数运算 演算 微积分 经济学
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