Elements of mathematical phenomenology and analogies of electrical and mechanical oscillators of the fractional type with finite number of degrees of freedom of oscillations: linear and nonlinear modes

Elements of mathematical phenomenology and analogies of electrical and mechanical oscillators of the fractional type with finite number of degrees of freedom of oscillations: linear and nonlinear modes

Following the ideas about analogies, mathematical, qualitative, and structural, introduced by Mihailo Petrović in Elements of Mathematical Phenomenology (Serbian Royal Academy, Belgrade, 1911), in this paper we present our research results focused on analogies of fractional-type oscillation models b...

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Bibliographic Details
Main Authors: Katica R. (Stevanović) Hedrih, Gradimir V. Milovanović
Format: Article
Language:English
Published: AIMS Press 2024-10-01
Series:Communications in Analysis and Mechanics
Subjects:
mathematical phenomenology
analogies
fractional calculus
fractional differential equation
oscillations
mechanical and electrical oscillators
fractional type dissipation of energy
Online Access:https://www.aimspress.com/article/doi/10.3934/cam.2024033
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