Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion

© 2016 Elsevier LtdIn 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.

Bibliographic Details
Main Authors: Zhang, Xinguang, Liu, Lishan, Wu, Yong Hong, Wiwatanapataphee, Benchawan
Format: Journal Article
Published: Elsevier 2017
Online Access:http://hdl.handle.net/20.500.11937/52416