Maxey–Riley equation: newer perspective

Maxey–Riley equation: newer perspective

Non-integer-order derivatives have proven useful while modelling natural systems involving memory effects. In this article, we analyse the Maxey–Riley (M–R) equation that models the motion of a small particle in a non-uniform flow field. Fractional derivative arises naturally as a history term. We s...

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Veröffentlicht in:International journal of dynamics and control 2024, Vol.12 (1), p.85-97
Hauptverfasser: Hegade, Abhiram, Daftardar-Gejji, Varsha, Bhalekar, Sachin
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Sprache:eng
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Complexity
Control
Control and Systems Theory
Differential equations
Dynamical Systems
Engineering
Fractional calculus
Nonuniform flow
Vibration
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creator Hegade, Abhiram
Daftardar-Gejji, Varsha
Bhalekar, Sachin
description Non-integer-order derivatives have proven useful while modelling natural systems involving memory effects. In this article, we analyse the Maxey–Riley (M–R) equation that models the motion of a small particle in a non-uniform flow field. Fractional derivative arises naturally as a history term. We study the M–R equation in terms of fractional differential equations, a subject very well studied in recent times. This approach helps in gaining a deeper understanding of the underlying phenomenon. We observe solution curves having self-intersections, which is a novel feature of fractional-order dynamics.
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subjects Complexity
Control
Control and Systems Theory
Differential equations
Dynamical Systems
Engineering
Fractional calculus
Nonuniform flow
Vibration
title Maxey–Riley equation: newer perspective
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