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