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arXiv · 2505.06540

Differential inclusion systems with fractional competing operator and multivalued fractional convection term

Jinxia Cen·Salvatore A. Marano·Shengda Zeng
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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.

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Jinxia Cen, Salvatore A. Marano, Shengda Zeng. 2025-05-10. Differential inclusion systems with fractional competing operator and multivalued fractional convection term. https://arxiv.org/abs/2505.06540

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