Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion

被引：105
作者：
Zhang, Xinguang [1 ,3 ]
Liu, Lishan [2 ,3 ]
Wu, Yonghong [3 ,4 ]
Wiwatanapataphee, B. [3 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[3] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia
[4] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Hubei, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 66卷
基金：
中国国家自然科学基金;
关键词：
Fractional advection-dispersion equation; Critical point theorem; Anomalous diffusion; Variational methods; LEVY MOTION; EXISTENCE;
D O I：
10.1016/j.aml.2016.10.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：1 / 8
页数：8
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