Work

New results on fractional advection–dispersion equations

Year: 2024

Type: article

Abstract: In this paper, a class of fractional Sturm–Liouville advection–dispersion equations with instantaneous and noninstantaneous impulses is considered, in particular, the nonlinearities discussed here include Caputo fractional derivatives. Since the nonlinear terms contain fractional derivatives, this problem does not directly have variational structure, we need to combine critical point theory and an iterative method to deal with such problems. Finally, the existence of at least one nontrivial solution is proved by the mountain pass theorem and the iterative method. At the same time, an example is given to illustrate the main result.

Source: Boundary Value Problems

DOI: 10.1186/s13661-024-01910-x

Authors: Yan Qiao, Fangqi Chen, Yukun An, Tao Lu

Institutions: Jiangsu Second Normal University, Nanjing University of Aeronautics and Astronautics

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

Funder: National Natural Science Foundation of China