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