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