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Fractional Electromagnetic Equations Using Fractional Forms
Authors:Dumitru Baleanu  Ali Khalili Golmankhaneh  Alireza Khalili Golmankhaneh and Mihaela Cristina Baleanu
Institution:(1) Department of Mathematics, Shenyang Normal University, Shenyang, 110034, China;(2) Department of Mathematics, Dalian University of Technology, Dalian, 116024, China
Abstract:The generalized physics laws involving fractional derivatives give new models and conceptions that can be used in complex systems having memory effects. Using the fractional differential forms, the classical electromagnetic equations involving the fractional derivatives have been worked out. The fractional conservation law for the electric charge and the wave equations were derived by using this method. In addition, the fractional vector and scalar potentials and the fractional Poynting theorem have been derived.
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