On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives

Abstract In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equation with three sequential fractional q-derivatives. We prove the existence and uniqueness results by using standard fixed-point theorems (Banach and Schaefer fixed-point theorems). We also discuss...

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Bibliographic Details
Main Authors: Mohamed Houas, Mohammad Esmael Samei, Shyam Sundar Santra, Jehad Alzabut
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-024-03093-6

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