Assistant Professor, Graphic Era Hill University, Dehradun, India
Dr. Ankit Kumar is an Assistant Professor at Graphic Era Hill University, Dehradun, India, with a specialization in controllability and differential equations. His research primarily focuses on nonlinear and fractional order differential systems. With a Ph.D. from the National Institute of Technology Hamirpur, he has contributed significantly to mathematical sciences through various research publications and conference presentations. 🌟📚
Publication Profile
Google Scholar
Strengths for the Award:
- Research Contributions: Dr. Kumar’s research primarily focuses on controllability and differential equations, including fractional and impulsive systems. His publications in high-impact journals such as Mathematical Methods in the Applied Sciences and The Journal of Mathematical Analysis and Applications reflect significant contributions to his field.
- Volume of Publications: He has authored and co-authored 16 papers, many of which are in reputable journals, indicating a robust research output.
- Academic and Research Experience: With a Ph.D. from a well-regarded institute and experience as a Senior Research Scholar, Dr. Kumar has demonstrated a solid academic and research background. His experience as a reviewer for multiple national and international journals further underscores his engagement with the research community.
- Awards and Achievements: His achievement of qualifying for CSIR-UGC NET (JRF) with a high rank and his role in supervising Ph.D. students highlight his academic prowess and leadership in research.
- Conference Presentations: Presenting at multiple international conferences shows his active involvement in disseminating his research and engaging with the broader scientific community.
Areas for Improvement:
- Broader Impact and Collaboration: While Dr. Kumar’s research is technically robust, increasing interdisciplinary collaborations and expanding the scope of his research could enhance its impact and visibility.
- Research Funding and Grants: Securing more research funding or grants could further support and expand his research endeavors, leading to more comprehensive studies and higher visibility.
- International Collaborations: Engaging in collaborative research with international institutions could enhance the global reach and recognition of his work.
- Diversity in Research Topics: Exploring a wider range of research topics or applications could diversify his contributions and appeal to a broader audience.
Education:
Dr. Kumar completed his Ph.D. in Mathematics from the National Institute of Technology Hamirpur in 2022, with his thesis titled “Controllability of Integer and Non-integer Ordered Differential Systems.” He holds an M.Sc. in Mathematics from Hemvati Nandan Bahuguna Garhwal University (2014) and a B.Sc. in P.C.M. from the same institution (2012). 🎓📘
Experience:
Dr. Kumar has been serving as an Assistant Professor at Graphic Era Hill University since September 2022. Prior to this, he was a Senior Research Scholar (2019-2022) and a Junior Research Scholar (2017-2019) at the National Institute of Technology Hamirpur. He also worked as a Lecturer at Ramanand Institute of Pharmacy, Management & Technology for a brief period in 2014-2015. 🧑🏫📈
Research Focus:
Dr. Kumar’s research focuses on the controllability of differential equations in abstract spaces, including fractional differential equations. His work explores existence and controllability results for various nonlinear systems, contributing valuable insights to the field of mathematical analysis. 🔍📊
Awards and Honours:
Dr. Kumar qualified the CSIR-UGC NET (JRF) in Mathematical Sciences with an impressive All India Rank of 69 in 2016. 🏅🎖️
Publications Top Notes:
Vandana Yadav, Ramesh Kumar Vats, Ankit Kumar, “New exploration on approximate controllability of nondensely defined Hilfer neutral-type delayed nonlinear differential inclusion system with non-instantaneous impulse,” The Journal of Mathematical Analysis and Applications, (Online Published).
Vandana Yadav, Ramesh Kumar Vats, Ankit Kumar, “New exploration on the existence and null controllability of fractional Hilfer stochastic systems driven by Poisson jumps and fractional Brownian motion with non-instantaneous impulse,” International Journal of Dynamics and Control, 2024.
Om Prakash Kumar Sharma, Ramesh Kumar Vats, Ankit Kumar, “New Exploration on Approximate Controllability of Fractional Neutral-type Delay Stochastic Differential Inclusions with Non-instantaneous Impulse,” Mathematical Methods in the Applied Sciences, 47(6), 5161-5190, 2024.
Kamaljeet, Ankit Kumar, Ramesh Kumar Vats, “Approximate controllability of neutral Hilfer fractional differential equations of Sobolev-type in a Hilbert Space,” Mathematical Control and Related Fields, 14(2), 493-512, 2024.
Parveen Kumar, Ramesh Kumar Vats, Ankit Kumar, “Result on Controllability of Hilfer Fractional Integro-differential Equations of Sobolev-Type with Non-Instantaneous Impulses,” Filomat, 37(29), 10033–10053, 2024.
Conclusion:
Dr. Ankit Kumar is a strong candidate for the “Best Research Award” due to his extensive research contributions, impressive publication record, and active involvement in the research community. His focus on controllability and differential equations is both niche and significant, demonstrating a deep understanding of complex mathematical systems. To further strengthen his candidacy, enhancing international collaborations and expanding the scope of his research could be beneficial. Overall, Dr. Kumar’s achievements and research impact make him a notable contender for the award.