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A New Feature of the Fractional Euler–Lagrange Equations for a Coupled Oscillator Using a Nonsingular Operator Approach

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Palestine Technical College
Jajarmi A.; Baleanu D.; Sajjadi S.S.; Asad J.H.
Jajarmi, Amin (34880044900); Baleanu, Dumitru (7005872966); Sajjadi, Samaneh Sadat (56306064100); Asad, Jihad H. (8898843900)
34880044900; 7005872966; 56306064100; 8898843900
2019
Frontiers in Physics
A New Feature of the Fractional Euler–Lagrange Equations for a Coupled Oscillator Using a Nonsingular Operator Approach
7
Frontiers Media SA
196
Department of Electrical Engineering, University of Bojnord, Bojnord, Iran; Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele–Bucharest, Romania; Department of Electrical and Computer Engineering, Hakim Sabzevari University, Sabzevar, Iran; Department of Physics, College of Applied Sciences, Palestine Technical University, Tulkarm, Palestine
Jajarmi A., Department of Electrical Engineering, University of Bojnord, Bojnord, Iran; Baleanu D., Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey, Institute of Space Sciences, Magurele–Bucharest, Romania; Sajjadi S.S., Department of Electrical and Computer Engineering, Hakim Sabzevari University, Sabzevar, Iran; Asad J.H., Department of Physics, College of Applied Sciences, Palestine Technical University, Tulkarm, Palestine
A. Jajarmi; Department of Electrical Engineering, University of Bojnord, Bojnord, Iran; email: a.jajarmi@ub.ac.ir
123
10.3389/fphy.2019.00196
coupled oscillator; Euler–Lagrange equations; fractional derivative; nonsingular kernel; numerical method
Equations of motion; Lagrange multipliers; Oscillators (mechanical); Coupled oscillators; Euler-Lagrange equations; Fractional derivatives; Fractional euler-lagrange equations; Fractional operators; Free motion; Lagrange equation of motion; Lagrangian; Nonsingular; Nonsingular kernel; Numerical methods