Ordinary Differential Equation with Left and Right Fractional Derivatives and Modeling of Oscillatory Systems

Ordinary Differential Equation with Left and Right Fractional Derivatives and Modeling of Oscillatory Systems

We consider the principle of least action in the context of fractional calculus. Namely, we derive the fractional Euler–Lagrange equation and the general equation of motion with the composition of the left and right fractional derivatives defined on infinite intervals. In addition, we construct an e...

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Bibliographic Details
Main Authors: Liana Eneeva, Arsen Pskhu, Sergo Rekhviashvili
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Mathematics
Subjects:
principle of least action
fractional oscillator
equation with left and right fractional derivative
Gerasimov–Caputo fractional derivative
Riesz potential
Online Access:https://www.mdpi.com/2227-7390/8/12/2122

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https://www.mdpi.com/2227-7390/8/12/2122

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