Department of Mathematics and Statistics;
Faculty of Science;
Taif University;
Taif;
PO Box 888;
Saudi Arabia;
Department of Physics and Engineering Mathematics;
Faculty of Electronic Engineering;
Menoufia University;
Menouf;
PO Box 32952;
Egypt;
Department of Mechanical Engineering;
College of Engineering;
Taif University;
Taif;
PO Box 888;
Saudi Arabia;
Department of Mechanical Engineering;
Faculty of Engineering;
Assiut University;
Assiut;
PO Box 71516;
Egypt;
Department of Electrical Engineering;
College of Engineering;
Taif University;
Taif;
PO Box 888;
Saudi Arabia;
Vibration control; stability; offshore wind turbine system; energy transfer;