1. Mechanical Engineering Department, University of 20 Aout 1955, Skikda, Algeria
2. Materials and Energy Engineering Laboratory (LMGE), Technology Department, Faculty of Technology, 20 Aout 1955 University of Skikda, Skikda, Algeria
3. Department of Mathematics, University of Sialkot, Sialkot, Pakistan
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. Physical Engineering Department, University of 20 Aout 1955, Skikda, Algeria
6. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, Saudi Arabia