1. Department of Mathematics and Statistics, College of Science, Taif University, Taif, Saudi Arabia
2. Department of Mathematics, Basirhat College, Parganas, India
3. Department of Mathematics, Faculty of Science, SouthValley University, Qena, Egypt
4. Department of Computer Science, Faculty of Computers and Information, Luxor University, Egypt
5. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt