1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
2. Department of Mechanical Engineering, King Khalid University, Abha, Saudi Arabia
3. Department of Mathematical Sciences, College of Applied Science, Umm Al-Qura University, Makkah, Saudi Arabia
4. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
5. Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi addawaser, Saudi Arabia
6. Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt