1. Department of Mathematics, Nitte (Deemed to be University), N. M.A. M. Institute of Technology, Nitte, Karkala, Karnataka, India
2. Department of Mathematics, Davangere University, Davangere, Karnataka, India
3. Department of Restorative Dentistry, College of Dentistry, King Saud University, Riyadh, Saudi Arabia
4. Ryan institute’s centre for climate and air pollution studies, physics, school of natural sciences, University of Galway, Slams, Galway, Ireland