Fractional Electromagnetic Equations Using Fractional Forms |
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Authors: | Dumitru Baleanu Ali Khalili Golmankhaneh Alireza Khalili Golmankhaneh and Mihaela Cristina Baleanu |
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Institution: | (1) Department of Mathematics, Shenyang Normal University, Shenyang, 110034, China;(2) Department of Mathematics, Dalian University of Technology, Dalian, 116024, China |
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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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Keywords: | |
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