He has participated and delivered invited talks at several national and international conferences, as well as in many universities in India and abroad. Under his supervision, several candidates were awarded Ph.D. degrees in the fields of control theory, differential and integral equations, stochastic differential equations, partial differential equations, mathematical biology, fractional differential equations, and general topology. To his credit, he has published a good number of research papers in these fields and many papers are in SCI journals. He is acting as Referee for various international journals and Associate Editor of some international journals. He is Reviewer for Mathematical Reviews, AMS, and ZbMath.
He was Visiting Scientist/Professor at the International Centre for Theoretical Physics, Italy (1987, 1990); University of Tennessee at Chattanooga, USA (1993); Pusan National University, South Korea (1997); University Wyoming, USA (2004); and Naval Postgraduate School, USA (2012); Sophia University, Japan (1998); and Yonsei University, South Korea (2005); and the Pusan National University, South Korea (1999–2000, 2008–2009). He has delivered invited lectures at Yonsei University, South Korea (October 2003), University of Wyoming, USA (June 2004), Hanoi Normal University, Vietnam (June 2011), Sungkyunkwan University, South Korea (December 2011), Kongju National University, South Korea (June 2017), Yangzhou University, China (May 2019) and King Fahd University of Petroleum and Minerals, Saudi Arabia (December 2019). He has participated in the International Congress of Mathematicians and International Congress on Industrial and Applied Mathematics held at Beijing, Madrid, Zurich, Hyderabad, Vancouver, Seoul, Rio de Janeiro and Valencia.