Solution of a Fractional Transport Equation by Using the Generalized Quadratic Form
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Date
2011
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Elsevier Science Bv
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Abstract
In this manuscript the one dimensional fractional transport equation in which the prescribed source and angular flux are spatially quadratic is investigated within the generalized quadratic form method. It is reported that the angular flux satisfies Fick's law and the corresponding scalar flux satisfies the fractional generalization of the classic diffusion equation. (C) 2010 Elsevier B.V. All rights reserved.
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Keywords
Caputo Fractional Derivative, Fractional Transport Equations, Generalized Quadratic Form, Fick'S Law
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Abdelouahab, K., Baleanu, D. (2011). Solution of a fractional transport equation by using the generalized quadratic form. Communications In Nonlinear Science And Numerical Simulation, 16(8), 3011-3014. http://dx.doi.org/10.1016/j.cnsns.2010.10.032
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Q1
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Q1
OpenCitations Citation Count
7
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Volume
16
Issue
8
Start Page
3011
End Page
3014
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