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Please use this identifier to cite or link to this item:
http://hdl.handle.net/11129/3475
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| Title: | On modeling with multiplicative differential equations |
| Authors: | Tandoğdu, Yücel
Bashirov, Agamirza
Mısırlı, Emine
Özyapıcı, Ali
Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics |
| Keywords: | Gompertz function, 97M10, exponential arithmetic, elasticity, 93A30, multiplicative calculus,
Applications of Mathematics, 00A71, Mathematics, general, growth, Mathematics, MATHEMATICS, APPLIED, CALCULUS |
| Issue Date: | 2011 |
| Publisher: | SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities |
| Abstract: | 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. |
| Description: | .Due to copyright restrictions, the access to the publisher version (published version) of this article is only available via subscription. You may click URI and have access to the Publisher Version of this article through the publisher web site or online databases, if your Library or institution has subscription to the related journal or publication |
| URI: | http://dx.doi.org/10.1007/s11766-011-2767-6
http://hdl.handle.net/11129/3475 |
| ISSN: | 1005-1031(print)
1993-0445(online) |
| Appears in Collections: | MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics
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