Global well-posedness and analyticity for the fractional stochastic Hall-magnetohydrodynamics system in the Besov–Morrey spaces

This paper studies the existence and uniqueness of solution for the fractional Hall-magnetohydrodynamics system (HMH) and with two stochastic terms (SHMH). Based on the theory of Besov–Morrey spaces and the contraction principle, we will demonstrate tow main result. The first result shows the existence, uniqueness and the analyticity of solution for (HMH) in Besov–Morrey spaces N p , λ s . The second result prove the existence and uniqueness of solution for (SHMH) in L 0 1 ( Ω × ( 0 , T ) , P ; M p λ ) ∩ N p , λ s .