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. 2010 Mathematics Subject Classification. 05A30.

In this paper, we introduce q-anologous of Lane Emden equations as singular initial value problems. Some examples and their numerical solutions are given; the numerical and analytic results, we show the efficiency and reliability of the method.