Applied MathematicsA Journal of Chinese Universities
, Volume 26, Issue 4, pp 425438
First online:
On modeling with multiplicative differential equations
 Agamirza E. BashirovAffiliated withDepartment of Mathematics, Eastern Mediterranean University Email author
 , Emine MısırlıAffiliated withDepartment of Mathematics, Ege University
 , Yücel TandoğduAffiliated withDepartment of Mathematics, Eastern Mediterranean University
 , Ali ÖzyapıcıAffiliated withDepartment of Computer Engineering, Lefke European University
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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.
Keywords
Gompertz function elasticity exponential arithmetic multiplicative calculus growthMR Subject Classification
00A71 93A30 97M10 Title
 On modeling with multiplicative differential equations
 Journal

Applied MathematicsA Journal of Chinese Universities
Volume 26, Issue 4 , pp 425438
 Cover Date
 201112
 DOI
 10.1007/s1176601127676
 Print ISSN
 10051031
 Online ISSN
 19930445
 Publisher
 SP Editorial Committee of Applied Mathematics  A Journal of Chinese Universities
 Additional Links
 Topics
 Keywords

 00A71
 93A30
 97M10
 Gompertz function
 elasticity
 exponential arithmetic
 multiplicative calculus
 growth
 Authors

 Agamirza E. Bashirov ^{(1)}
 Emine Mısırlı ^{(2)}
 Yücel Tandoğdu ^{(1)}
 Ali Özyapıcı ^{(3)}
 Author Affiliations

 1. Department of Mathematics, Eastern Mediterranean University, Gazimagusa, via Mersin 10, Turkey
 2. Department of Mathematics, Ege University, Izmir, Turkey
 3. Department of Computer Engineering, Lefke European University, Gemikonaǧı, via Mersin 10, Turkey