1. Mechanical Engineering Department, University of Skikda, Skikda, Algeria
2. Materials and Energy Engineering Laboratory (LMGE), Technology Department, Faculty of Technology, 20 Aout 1955 University of Skikda, Skikda, Algeria
3. Mechanical Engineering Department, University of 20 Aout 1955, Skikda, Algeria
4. Mechanics of Materials and Plant Maintenance Research Laboratory (LR3MI), Mechanical Engineering Department, Faculty of Engineering, Badji Mokhtar University of Annaba (UBMA), Annaba, Algeria
5. Finance and Insurance Department, College of Business Administration, Northern Border University, Arar, Saudi Arabia
6. Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga, Al-Wadi Al-Gadid, Egypt
7. Department of Mathematics, College of Science, University of Bisha, Bisha, Saudi Arabia