ϕ−Multiplicative Calculus

Authors : Orhan Dişkaya

Pages : 159-172

Doi:10.54974/fcmathsci.1412066

View : 43 | Download : 52

Publication Date : 2024-07-31

Article Type : Research Paper

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.
Keywords : Fibonacci numbers, multiplicative derivative, golden calculus, integral