Please use this identifier to cite or link to this item: https://scholar.ptuk.edu.ps/handle/123456789/637
Title: New features of the fractional Euler-Lagrange equations for a physical system within non-singular derivative operator
Authors: Baleanu, D
Sadat Sajjadi, S
Jajarmi, A
Asad, J H
Keywords: Fractional calculus
capacitor microphone
fractional Euler Equations
fractional Derivative
Issue Date: Apr-2019
Publisher: Springer Nature
Citation: Baleanu, D., Sadat Sajjadi, S., Jajarmi, A., Asad, J.H. (2019). New features of the fractional Euler-Lagrange equations for a physical system within non-singular derivative operator. European Physical Journal Plus 134(4),181
Abstract: Free motion of a fractional capacitor microphone is investigated in this paper. First, a capacitor microphone is introduced and the Euler-Lagrange equations are established. Due to the fractional derivative’s the history independence, the fractional order displacement and electrical charge are used in the equations. Fractional differential equations involve in the right- and left-hand–sided derivatives which is reduced to a boundary value problem. Finally, numerical simulations are obtained and dynamical behaviors are numerically discussed.
URI: https://scholar.ptuk.edu.ps/handle/123456789/637
ISSN: 21905444
Appears in Collections:Applied science faculty

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