Solutions behavior of mechanical oscillator equations with impulsive effects under Power Caputo fractional operator and its symmetric cases

Solutions behavior of mechanical oscillator equations with impulsive effects under Power Caputo fractional operator and its symmetric cases

Abstract This study investigates the qualitative behavior of mechanical oscillator equations with impulsive effects using the generalized Power Caputo fractional operator, encompassing several known derivatives (such as Caputo–Fabrizio and Atangana–Baleanu) as special cases. The operator’s parameter...

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Bibliographic Details
Main Authors: Hicham Saber, Mohammed Almalahi, Mohamed Bouye, Khaled Aldwoah, Abdelkader Moumen, Blgys Muflh
Format: Article
Language:English
Published: Nature Portfolio 2025-05-01
Series:Scientific Reports
Subjects:
Power Caputo fractional operator
Impulsive solutions behavior
Fixed point theorem
Symmetric solutions
Simulation
Online Access:https://doi.org/10.1038/s41598-025-01301-x
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