HEREDITARY EFFECTS OF EXPONENTIALLY DAMPED OSCILLATORS WITH PAST HISTORIES

DOI10.11948/20180344zbMath1457.34100arXiv1811.00216OpenAlexW2987565014MaRDI QIDQ5859451

Guozhong Xiu, Liying Wang, Jian Yuan, Bao Shi

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00216

zbMATH Keywords

dynamical systemsintegro-differential equationhereditary effectsinitialization problemsnonviscously damping

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory of functional-differential equations (34K20) Linear constitutive equations for materials with memory (74D05) General theory of functional-differential equations (34K05)

Cites Work

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• Fractional calculus via functional calculus: Theory and applications
• Estimation of exact initial states of fractional order systems
• Impulse responses of fractional damped systems
• Structural Dynamic Analysis with Generalized Damping Models
• LINEAR DAMPING MODELS FOR STRUCTURAL VIBRATION
• Definition of Physically Consistent Damping Laws with Fractional Derivatives

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