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Zhang, Xinguang; Liu, Lishan; Wu, Yonghong; Wiwatanapataphee, B.

Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion. (English) Zbl 1364.35429

Appl. Math. Lett. 66, 1-8 (2017).
Summary: In this paper, we consider the existence of nontrivial solutions for a class of fractional advection-dispersion equations. A new existence result is established by introducing a suitable fractional derivative Sobolev space and using the critical point theorem.
© Elsevier Ltd

Cited in 96 Documents

MSC:

35R11 Fractional partial differential equations
35K10 Second-order parabolic equations
35A15 Variational methods applied to PDEs

Keywords:

fractional advection-dispersion equation; critical point theorem; anomalous diffusion; variational methods
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References:

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