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Differential inclusion systems with fractional competing operator and multivalued fractional convection term (2505.06540v1)
Published 10 May 2025 in math.AP
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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