Thesis:
PhD Thesis: 8
As Supervisor: 5
Completed : 03
"Prospects of Fractional Calculus in Sustainable Development Goals" by Mr Kocherlakotta Satya Pritam (2015PHXP011P). Co-Supervisor: Dr Shivi Agarwal in September, 2020. He is presently working as Assistant Professor at PDEU, Gandhinagar, Gujrat, India.
"Development and Application of Fractional Calculus-based Mathematical Models and Soft Computing Techniques" by Ms Sugandha Arora (2018PHXP0024P). Co-Supervisor: Dr Kamlesh Tiwari in October, 2023. She is presently working as Post Doctoral Fellow at University of Muenster, Germany.
"Socioeconomic and Epidemiologic Modeling: A Fractional Differintegral Approach" by Ms Komal (2019PHXF0041P) in April 2024. She is presently working as Assistant Professor at Chandigarh University, Chandigarh, India.
Ongoing: 02
"Complex Order Differ-integral Operators and Equations in Complex Domain with Applications" by Ms Babli Yadav (2020PHXP0046P). Co-Supervisor: Dr Shivi Agarwal.
"Generalized Fractional Boundary Value Problems in Complex Domain with Applications" by Mr Ashish Yadav (2020PHXP0444P). Co-Supervisor: Dr Shivi Agarwal.
As Co-Supervisor: 3
1. "Data Envelopment Analysis Models for Benchmarking to Improve Public Transport Sector" by Ms Swati (2018PHXF0409P). Supervisor: Dr Shivi Agarwal.
2. "Performance assessment of hybrid renewable energy technologies using integrated MCDM techniques" by Ms Jyoti (2020PHXF0065P). Supervisor: Dr Shivi Agarwal.
3. “Applications of DEA in supply chain and network flow models with multiple and uncertain attributes” by Mr. Shantnu (2021PHXF0446P). Supervisor: Dr Shivi Agarwal.
First Degree Thesis: 10
"Applications of RNN in Portfolio Construction" submitted by Nikita Singh (2016B4A70509P) in I Semester, 2020-21.
"Applications of Fractional Calculus in Neural Networks" submitted by Bhavesh Navandar (2014B4A10648P) in II Semester, 2019-20.
Co-supervised "2D Shape Registration and Comparison in Image Analysis" submitted by Vighnesh Hegade (2015B4A70342P) in I Semester, 2019-20. (Supervisor: Dr. Martin Herman, Senior advisor for forensics and IT, National Institute of Standards and Technology, U.S. Department of Commerce)
Co-supervised "Application of discrete mathematics to develop methods for footwear impression comparison" submitted by Akul Sareen (2013B4A7743P) in II Semester, 2017-18. (Supervisor: Dr. Martin Herman, Senior advisor for forensics and IT, National Institute of Standards and Technology, U.S. Department of Commerce)
Co-supervised "Finding {p, p} - equivelar maps on small number of vertices" submitted by Shubham Sharma(2013B4A8703P) in II Semester, 2017-18. (Supervisor: Prof. Basudeb Datta, Department of Mathematics, Indian Institute of Science, Bangalore)
"Application of Fractional Calculus in PID Controllers" submitted by Mr Mohit Saluja (2012B4A3642P) in I Semester 2016-17.
"Application of Fractional Calculus to Rainfall-Sreamflow Modelling" submitted by Ms Vasundhara Sharma (2010B4A2719P) in I Semester 2014-15.
"Univalent functions in the dynamics of viscous flows with the discussion of Hele-Shaw problem"; submitted by Mr Kaustubh Sakhalkar (2009B4A4695P) in I Semester 2013-14.
Co-supervised "SHG’s – A tool to empower women in India"; submitted by Ms Manisha Rana (2009B4A7596P) in I Semester 2013-14. (Supervisor Dr Pushplata)
"Supply Chain Risk Assessment using Fuzzy Logic"; submitted by Mr Vinay Dwivedi (2007B4A8700P) in II Semester 2011-12.
Study Projects Supervised: 24
- "Pose Estimation with CNNs: Exploring Omnidirectional Images" submitted by Rachit Gandhi (2020B4A81440P) in I semester 2023-24.
- "Finding the Fractional Order for Predicting the Air Quality Index using Fractional Gradient-based Neural Networks" submitted by Divyanshu Singh (2020B4A3647P) in I semester 2023-24.
- "Supply Chain Implementation Framework" submitted by Uday Mittal (2019B4A70662P) in I semester 2022-23.
- "Study of an Integrated DEA Model with AI" submitted by Deepankar Bansal (2021B4A71070P) in I semester 2022-23.
- "Fractional Ordered Neural Networks in Stock Market Analysis" submitted by Nanavaty Akash Anish (2021B4A72322P) and Sahil Mehta (2021B4A71078P) in I semester 2022-23.
- "Predicting levels of different gases in the atmosphere to improve Air Quality Index using Fractional Gradient-based Neural Networks of different cities" submitted by Divyanshu Singh (2020B4A3647P) in II semester 2021-22.
- "Study on Fractional Calculus Based Neural Networks" submitted by Ayush Kumar (2019B4TS1266P) in I semester 2021-22.
- "Discrete Fractional Calculus" submitted by Vighnesh Hegade (2015B4A70342P) in I Semester 2018-19.
- "A Study of DEA with Neural Networks" submitted by Arjun Gupta (2014B4A30754P) in II Semester 2017-18.
- "Geometric Methods for Digital Image Processing" submitted by Sahil Singhal (2014B4A40555P) in I Semester 2017-18.
- "Topological Data Analysis" submitted by Akul Sareen (2013B4A7743P) and Shubham Sharma(2013B4A8703P) in I Semester 2016-17.
- "Introduction To Analytical Number Theory" submitted by Ananya Banerjee (2013B4TS958P) in II Semester 2015-16.
- "A Study of Subordination Properties of Univalent Functions" submitted by Ilashree (2012B4A7138P) in I Semester 2015-16.
- "Fractional Calculus" submitted by Himanshu Garg (2012B4TS698P) in I Semester 2015-16.
- "Study of Fractional Taylor Series" submitted by Shubhangi Sikaria (2012B4TS984P) in II Semester 2014-15.
- "Study of univalent function theory" submitted by Aniruddha Ghosh (2011B4A4199P) in I Semester 2014-15.
- "Study of Graph Algorithms"; submitted by Pranjal Jain (2010B2A4799P) and Rahul Chandnani (2010B3A4617P) in II semester 2013-14.
- "Study of advanced topic in Graph Theory"; submitted by Shobhit Trehan (2010B2A7757P) and Vipul Aggarwal (2010B4A3500P) in II semester 2013-14.
- "Labelled Graph and their application in online social networks"; submitted by Ankit Maharia (2010B4A7723P) and Aayush Agarwal (2010B4A7710P) in II semester 2013-14.
- "Study of everywhere continuous but nowhere differentiable functions using fractional calculus"; submitted by Vasundhara Sharma (2010B4A2719P) in II semester 2012-13.
- "Applications of Topology in Engineering"; submitted by Aatman Vora (2009B4A4572P) and Udbhav Prasad (2009B4A7523P) in II Semester 2011-12.
- "Application of Fractional Calculus in the study of Fractal Functions"; submitted by Harsh Chhatwani (2009B4A7619P) and P. Ravi Teja (2009B4A7645P) in II Semester 2011-12.
- "A study of some Generalized Star-like and Convex Functions"; submitted by Vinay Kumar B.R. (2009B4A3371P) and Kaustubh Sakhalkar (2009B4A4695P) in II Semester 2011-12.
- "Study of Fractals using Fractional Calculus"; submitted by Sarthak Das (2006B4A7549P) and Rakul Viswanath (2006B4A8450P) in II Semester 2009-10.