1. Department of Mathematics, University of Sargodha, Sargodha, Pakistan
2. Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arabia
3. Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi addawaser, Saudi Arabia
4. Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt