Riesz Fractional Derivatives and Fractional Dimensional Space |
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| Authors: | Sami I. Muslih and Om P. Agrawal |
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| Affiliation: | 1.Department of Mechanical Engineering,Southern Illinois University,Carbondale,USA;2.Physics Department,Al-Azhar University-Gaza,Gaza,Palestine |
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| Abstract: | The Fourier transform method is used to solve fractional Poisson’s equation with Riesz fractional derivative of order α. It is shown that the solution is given in terms of the fractional dimensional space D. Gauss law for the electrostatic problem is given and the total electric flux is obtained in terms of α and D. |
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