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

  • Dumitru Baleanu
  • Samaneh Sadat Sajjadi
  • Amin JajarmiEmail author
  • Jihad H. Asad
Regular Article


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.


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Copyright information

© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Arts and SciencesCankaya UniversityAnkaraTurkey
  2. 2.Institute of Space SciencesMagurele, BucharestRomania
  3. 3.Department of Electrical and Computer EngineeringHakim Sabzevari UniversitySabzevarIran
  4. 4.Department of Electrical EngineeringUniversity of BojnordBojnordIran
  5. 5.Palestine Technical UniversityCollege of Arts and Sciences, Department of PhysicsTulkarmPalestine

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