American Institute of Mathematical Sciences

December  2015, 8(6): 1435-1450. doi: 10.3934/dcdss.2015.8.1435

A q-analogue of the multiplicative calculus: Q-multiplicative calculus

 1 Yildiz Technical University, Mathematical Engineering Department, Istanbul, Turkey, Turkey

Received  September 2015 Revised  November 2015 Published  December 2015

In this paper, we propose q-analog of some basic concepts of multiplicative calculus and we called it as q-multiplicative calculus. We successfully introduced q-multiplicative calculus and some basic theorems about derivatives, integrals and infinite products are proved within this calculus.
Citation: Gokhan Yener, Ibrahim Emiroglu. A q-analogue of the multiplicative calculus: Q-multiplicative calculus. Discrete & Continuous Dynamical Systems - S, 2015, 8 (6) : 1435-1450. doi: 10.3934/dcdss.2015.8.1435
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