Lagrangian formulation of Born-Infeld electrodynamics in fractional space

摘要

In this work, after a brief review of the Euler-Lagrange equations of motion in fractional space and Lagrangian formulation of Born-Infeld electrodynamics, we obtain the inhomogeneous and homogeneous Born-Infeld equations in fractional space. A fractional generalization of the Born-Infeld electrodynamics in vector form is found. Then, corresponding to fractal Born-Infeld equations we obtain the Laplace and Poisson equations in fractional space. Also, Faraday's law and Amper's law of Born-Infeld electrodynamics in fractional space are derived.