Well‐posedness and iterative formula for fractional oscillator equations with delays
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5572
Abstract: This paper investigates the well‐posedness and iterative formula for fractional oscillator equations with two different fractional orders and time delays. By the mathematical induction, a new generalized Grönwall's inequality in terms of a multivariate Mittag‐Leffler… read more here.
Keywords: fractional oscillator; formula; well posedness; posedness iterative ... See more keywords
Designing Fractional Oscillator for Sensing Different Types of Lossy Capacitors
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Instrumentation and Measurement"
DOI: 10.1109/tim.2023.3264030
Abstract: In this work, a new type of fractional oscillator circuit is proposed employing two fractional capacitors. Based on the Barkhausen criteria, a generalized closed-form equation for the oscillating frequency has been derived with simple design… read more here.
Keywords: conditioning circuit; circuit; designing fractional; signal conditioning ... See more keywords
Analysis of Forced Oscillations of a Fractional Oscillator
Sign Up to like & getrecommendations! Published in 2018 at "Technical Physics Letters"
DOI: 10.1134/s1063785019010164
Abstract: A model of forced oscillations of an oscillator based on the fractional integro-differential formalism has been considered. It is shown that this model is in good agreement with the classical model of forced oscillations of… read more here.
Keywords: analysis forced; oscillations fractional; forced oscillations; fractional oscillator ... See more keywords