Fractional advection dispersion equation in ℝ N with a potential vanishing at infinity
Abstract This paper deals with the following fractional advection dispersion equation in ℝ N {\mathbb{R}^{N}} : - ∫ | θ | = 1 D θ D θ β u M ( d θ ) + V ( x ) u = f ( x , u ) , x ∈ ℝ N . see text {-\int_{|\theta|=1}D_{\theta}D_{\theta}^{\beta}uM(d\theta)+V(x)u=f(x,u),\quad x% \in\mathbb{R}^{N}.} Here, N > 1 {N>1} , β ∈ ( 0 , 1 ) {\beta\in(0,1)} , α = β + 1 2 {\alpha=\frac{\beta+1}{2}} , M ( d θ ) {M(d\theta)}
Authors
- Bin Ge (ORCID: https://orcid.org/0000-0002-2161-9502)
- Guofeng Feng (ORCID: https://orcid.org/0000-0001-7124-0536)
- Meiyan Wang
Institutions
- Harbin University (CN)
- Harbin Engineering University (CN)
Publication Details
- Journal
- Georgian Mathematical Journal
- Published
- 2026-10-28
- DOI
- https://doi.org/10.1515/gmj-2026-3004
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Heilongjiang Province
- Fundamental Research Funds for the Central Universities