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| 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 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 47- New features of the fractional Euler-Lagrange equations for a.pdf | 1.32 MB | Adobe PDF |  View/Open |
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