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Abdelmajid Ali Dafallah1,∗, Fadlallah Mustafa Mosa2, Mohamed Y. A. Bakhet3 and Eshag Mohamed Ahmed4 1 Faculty of Petroleum and Hydrology Engineering, Alsalam University, Almugled, Sudan. 2 Department of Mathematics and physics, Faculty of Education University of Kassala Kassala, Sudan. 3 Department of Mathematics, College of Education Rumbek University of Science and Technology Rumbek, South Sudan. 4 Faculty of Pure and Applied Sciences, International University of Africa, Khartoum, Sudan. * Correspondence: majid_dafallah@yahoo.com

Stochastic dynamic for an extensible beam equation with localized nonlinear damping and linear memory