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Multiplicative calculus and its applications |
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| Authors: | Agamirza E Bashirov Emine M?s?rl? Kurp?nar |
| Institution: | a Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Mersin 10, Turkey b Institute of Cybernetics, National Academy of Sciences, F. Agayev St. 9, Az1141 Baku, Azerbaijan c Department of Mathematics, Ege University, Izmir, Turkey |
| Abstract: | Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. In the period from 1967 till 1970 Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. In the present paper our aim is to bring up this calculus to the attention of researchers and demonstrate its usefulness. |
| Keywords: | Calculus Derivative Integral Limit Semigroup Differential equation Calculus of variations |
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