A class of Langevin time-delay differential equations with general fractional orders and their applications to vibration theory

A class of Langevin time-delay differential equations with general fractional orders and their applications to vibration theory

Langevin differential equations with fractional orders play a significant role due to their applications in vibration theory, viscoelasticity and electrical circuits. In this paper, we mainly study the explicit analytical representation of solutions to a class of Langevin time-delay differential equ...

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Bibliographic Details
Main Authors: Ismail T. Huseynov, Nazim I. Mahmudov
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Journal of King Saud University: Science
Subjects:
Fractional-order Langevin-type time-delay differential equations
Delayed analogue of Mittag-Leffler type functions
Existence and uniqueness
Stability analysis
Vibration theory
Caputo fractional derivative
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364721002585

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