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Quantization of the Bateman damping system with conformable derivative

Quantization of the Bateman damping system with conformable derivative

In this work, the conformable Bateman Lagrangian for the damped harmonic oscillator system is proposed using the conformable derivative concept. In other words, the integer derivatives are replaced by conformable derivatives of order [Formula: see text] with [Formula: see text]. The corresponding conformable Euler–Lagrange equations of motion and fractional Hamiltonian …