Differential inclusion systems with fractional competing operator and multivalued fractional convection term
Analysis of PDEs
2025-05-13 v1
Abstract
In this work, the existence of solutions (in a suitable sense) to a family of inclusion systems involving fractional, possibly competing, elliptic operators, fractional convection, and homogeneous Dirichlet boundary conditions is established. The technical approach exploits Galerkin's method and a surjective results for multifunctions in finite dimensional spaces as well as approximating techniques.
Keywords
Cite
@article{arxiv.2505.06540,
title = {Differential inclusion systems with fractional competing operator and multivalued fractional convection term},
author = {Jinxia Cen and Salvatore A. Marano and Shengda Zeng},
journal= {arXiv preprint arXiv:2505.06540},
year = {2025}
}