New features of the fractional Euler-Lagrange equations for a physical system within non-singular derivative operator

Baleanu, DumitruBaleanu, DumitruSajjadi, Samaneh SadatJajarmi, AminAsad, Jihad H.Matematik2020-02-182020-02-182019Baleanu, Dumitru...et al. (2019). "New features of the fractional Euler-Lagrange equations for a physical system within non-singular derivative operator", European Physical Journal Plus, Vol. 134, No. 4.2190-5444https://doi.org/10.1140/epjp/i2019-12561-xAsad, Jihad/0000-0002-6862-1634; Jajarmi, Amin/0000-0003-2768-840X.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.eninfo:eu-repo/semantics/closedAccessNew features of the fractional Euler-Lagrange equations for a physical system within non-singular derivative operatorNew Features of the Fractional Euler-Lagrange Equations for a Physical System Within Non-Singular Derivative OperatorArticle134410.1140/epjp/i2019-12561-x2-s2.0-85065143357WOS:000466969400003Q2Q2