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In this paper, we consider the Neumann initial-boundary value problem for the Keller-Segel chemotaxis system with singular sensitivity 1 2

In this paper, our aim is to prove the boundedness of commutators generated by the Marcinkiewicz integrals operator [ ] , b µ Ω and obtain the result with Lipschitz function and BMO function f on the Herz-Morrey-Hardy spaces with variable exponents

In this paper, we develop controllability findings for impulsive neutral stochastic delay partial integrodifferential equations in Hilbert spaces driven by Rosenblatt process and Lévy noise. A novel set of adequate requirements is obtained by utilizing a fixed point method without imposing a stringent compactness constraint on the semigroup. The observed results represent a generalization and continuation of previous findings on this topic. Finally, an example is given to demonstrate how the acquired findings may be used.