UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, vol.78, no.2, pp.9-20, 2016 (SCI-Expanded)
The important point to be noted on the non-Newtonian calculus is a self- contained system independent of any other system of calculus. Therefore, the reader may be surprised to learn that there is a uniform relationship between the corresponding operators of this calculus and the classical calculus. In the present paper, some fundamental theorems and notions of the classical calculus are in- Terpreted from the view point of multiplicative calculus and the analogies between them are given. We propose a concrete approach based on some topological prop- erties with respect to the multiplicative calculus. Finally, we give ∗-completeness results on some sets of specific sequences.