Solution of a Fractional Transport Equation by Using the Generalized Quadratic Form
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Date
2011
Authors
Journal Title
Journal ISSN
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Publisher
Elsevier Science Bv
Open Access Color
Green Open Access
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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.
Description
Keywords
Caputo Fractional Derivative, Fractional Transport Equations, Generalized Quadratic Form, Fick'S Law, Fick's law, Integro-ordinary differential equations, Caputo fractional derivative, fractional transport equations, Fractional derivatives and integrals, generalized quadratic form method, Transport processes in time-dependent statistical mechanics
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
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
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
7
Source
Communications in Nonlinear Science and Numerical Simulation
Volume
16
Issue
8
Start Page
3011
End Page
3014
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CrossRef : 5
Scopus : 11
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