## Tbilisi Mathematical Journal

### On a fractional advection dispersion equation in $\mathbb{R}^N$ involving a critical nonlinearity

#### Abstract

In this paper, by using the variational principle of Ekeland, we prove the existence of at least one solution to the fractional advection dispersion equation in $\mathbb{R}^N$.

#### Article information

Source
Tbilisi Math. J., Volume 10, Issue 1 (2017), 285-293.

Dates
Accepted: 16 October 2016
First available in Project Euclid: 26 May 2018

https://projecteuclid.org/euclid.tbilisi/1527300031

Digital Object Identifier
doi:10.1515/tmj-2017-0018

Mathematical Reviews number (MathSciNet)
MR3646817

Zentralblatt MATH identifier
1364.35011

Subjects
Primary: 35A15: Variational methods
Secondary: 34A08: Fractional differential equations 35B38: Critical points

#### Citation

Nyamoradi, Nemat; Eghbali, Nasrin; Nori, Ali Ashraf. On a fractional advection dispersion equation in $\mathbb{R}^N$ involving a critical nonlinearity. Tbilisi Math. J. 10 (2017), no. 1, 285--293. doi:10.1515/tmj-2017-0018. https://projecteuclid.org/euclid.tbilisi/1527300031