$A new and general fractional Lagrangian approach: A capacitor microphone case study$
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A new and general fractional Lagrangian approach: A capacitor microphone case study

In this study, a new and general fractional formulation is presented to investigate the complex behaviors of a capacitor microphone dynamical system. Initially, for both displacement and electrical charge, the classical Euler–Lagrange equations are constructed by using the classical Lagrangian appro...

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Autores principales:	A. Jajarmi, D. Baleanu, K. Zarghami Vahid, H. Mohammadi Pirouz, J.H. Asad
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Fractional calculus Euler–Lagrange equations General kernel function Capacitor microphone system Matrix approximation technique Physics QC1-999
Acceso en línea:	https://doaj.org/article/ddfab742a2f84f7d9456ef569caea795
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id	oai:doaj.org-article:ddfab742a2f84f7d9456ef569caea795
record_format	dspace
spelling	oai:doaj.org-article:ddfab742a2f84f7d9456ef569caea7952021-11-14T04:32:32ZA new and general fractional Lagrangian approach: A capacitor microphone case study2211-379710.1016/j.rinp.2021.104950https://doaj.org/article/ddfab742a2f84f7d9456ef569caea7952021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009700https://doaj.org/toc/2211-3797In this study, a new and general fractional formulation is presented to investigate the complex behaviors of a capacitor microphone dynamical system. Initially, for both displacement and electrical charge, the classical Euler–Lagrange equations are constructed by using the classical Lagrangian approach. Expanding this classical scheme in a general fractional framework provides the new fractional Euler–Lagrange equations in which non-integer order derivatives involve a general function as their kernel. Applying an appropriate matrix approximation technique changes the latter fractional formulation into a nonlinear algebraic system. Finally, the derived system is solved numerically with a discussion on its dynamical behaviors. According to the obtained results, various features of the capacitor microphone under study are discovered due to the flexibility in choosing the kernel, unlike the previous mathematical formalism.A. JajarmiD. BaleanuK. Zarghami VahidH. Mohammadi PirouzJ.H. AsadElsevierarticleFractional calculusEuler–Lagrange equationsGeneral kernel functionCapacitor microphone systemMatrix approximation techniquePhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104950- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fractional calculus Euler–Lagrange equations General kernel function Capacitor microphone system Matrix approximation technique Physics QC1-999
spellingShingle	Fractional calculus Euler–Lagrange equations General kernel function Capacitor microphone system Matrix approximation technique Physics QC1-999 A. Jajarmi D. Baleanu K. Zarghami Vahid H. Mohammadi Pirouz J.H. Asad A new and general fractional Lagrangian approach: A capacitor microphone case study
description	In this study, a new and general fractional formulation is presented to investigate the complex behaviors of a capacitor microphone dynamical system. Initially, for both displacement and electrical charge, the classical Euler–Lagrange equations are constructed by using the classical Lagrangian approach. Expanding this classical scheme in a general fractional framework provides the new fractional Euler–Lagrange equations in which non-integer order derivatives involve a general function as their kernel. Applying an appropriate matrix approximation technique changes the latter fractional formulation into a nonlinear algebraic system. Finally, the derived system is solved numerically with a discussion on its dynamical behaviors. According to the obtained results, various features of the capacitor microphone under study are discovered due to the flexibility in choosing the kernel, unlike the previous mathematical formalism.
format	article
author	A. Jajarmi D. Baleanu K. Zarghami Vahid H. Mohammadi Pirouz J.H. Asad
author_facet	A. Jajarmi D. Baleanu K. Zarghami Vahid H. Mohammadi Pirouz J.H. Asad
author_sort	A. Jajarmi
title	A new and general fractional Lagrangian approach: A capacitor microphone case study
title_short	A new and general fractional Lagrangian approach: A capacitor microphone case study
title_full	A new and general fractional Lagrangian approach: A capacitor microphone case study
title_fullStr	A new and general fractional Lagrangian approach: A capacitor microphone case study
title_full_unstemmed	A new and general fractional Lagrangian approach: A capacitor microphone case study
title_sort	new and general fractional lagrangian approach: a capacitor microphone case study
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/ddfab742a2f84f7d9456ef569caea795
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A new and general fractional Lagrangian approach: A capacitor microphone case study

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