Lagrangian formulation of Born-Infeld electrodynamics in fractional space
Department of Physics, Faculty of Sciences, Salman Farsi University of Kazerun, 73175-457, Kazerun, Iran
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Accepted: 21 May 2017
Published online: 5 July 2017
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, 2017