Fractional Oscillator -- Harmonic Oscillator with Memory Effects
Vishwamittar, Yashika Taneja, Nipun Ahuja
TL;DR
This paper explores a fractional harmonic oscillator that incorporates memory effects through fractional derivatives, highlighting the significance of memory in oscillatory systems.
Contribution
It introduces a fractional oscillator model that explicitly accounts for memory effects, extending classical harmonic oscillator theory.
Findings
Demonstrates the impact of memory effects on oscillation behavior
Provides a mathematical framework for fractional oscillators
Highlights the importance of fractional derivatives in modeling real systems
Abstract
The importance of fractional time-derivative to take care of memory effects has been brought out by considering the example of a simple oscillator.
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Taxonomy
TopicsFractional Differential Equations Solutions · Advanced Control Systems Design · Iterative Methods for Nonlinear Equations