1. Department of Mathematics, Shivangangothri, Davangere University, Davangere, 577002 Karnataka, India
2. Department of Mathematics, Government Engineering College, VTU, Hassan 573201, India
3. Department of Mathematics, SHDD Government First Grade College, Paduvalahippe, Hassan, Karnataka 573 201, India
4. Department of Mechanical Engineering, College of Engineering, Otterbein University, Westerville, Ohio 43081, USA
5. Department of Mechanical and Aerospace Engineering, Aerospace Research Center, The Ohio State University, Columbus, Ohio 43235, USA