1. Department of Mathematics and Statistics, Chaitanya Deemed to be University, Kishanpura, Hanamkonda, Warangal 506001, Telangana, India
2. Department of Computer Science and Artificial Intelligence (Mathematics), SR University, Warangal-506371, Telangana, India
3. Research Scholar, Department of Mathematics and Statistics, Chaitanya Deemed to be University, Kishanpura, Hanamkonda, Warangal-506001, Telangana, India
4. Department of Mathematics, Bowen University, Iwo, Osun State, Nigeria