@article{article_1412066, title={ϕ−Multiplicative Calculus}, journal={Fundamentals of Contemporary Mathematical Sciences}, volume={5}, pages={159–172}, year={2024}, DOI={10.54974/fcmathsci.1412066}, author={Dişkaya, Orhan}, keywords={Fibonacci numbers, multiplicative derivative, golden calculus, integral}, abstract={In this paper, we present a novel mathematical framework termed “ϕ-multiplicative calculus”, which serves as a Golden Fibonacci calculus to fundamental concepts in multiplicative calculus. This innovative calculus introduces a parameter ϕ (Golden ratio), offering a nuanced extension of traditional calculus. Our work encompasses the establishment of ϕ-multiplicative calculus and the demonstration of essential theorems concerning derivatives, integrals, and their operation properties within this mathematical framework. The paper contributes to the academic discourse by providing a comprehensive exploration of the proposed ϕ-multiplicative calculus, presenting a robust foundation for further investigations in this specialized mathematical domain.}, number={2}, publisher={Mustafa UÇKUN}