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  • Fundamentals of Contemporary Mathematical Sciences
  • Volume:5 Issue:2
  • ϕ−Multiplicative Calculus

ϕ−Multiplicative Calculus

Authors : Orhan Dişkaya
Pages : 159-172
Doi:10.54974/fcmathsci.1412066
View : 47 | Download : 56
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

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