1. Department Mathematics High Institute of Engineering and Technology-Tod-Luxor-Egypt, Higher Institute of Engineering and Technology, Luxor, Egypt
2. Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
3. Department of Computer Science, Faculty of Computers and Information, Luxor University, Luxor, Egypt
4. Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt