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