Vaibhav Mehandiratta

Assistant Professor, Gr-I

Fractional Differential Equations, Metric Graphs, Optimal Control Problems, Stochastic PDEs

A402, Department of Mathematics, BITS Pilani K K Birla Goa Campus, NH-17B, Zuarinagar 403726, Goa, India

vaibhavm@goa.bits-pilani.ac.in

0832-2580421

Welcome!

"When you eliminate the impossible, whatever remains, however improbable, must be the truth."- Arthur Conan Doyle

Education:

PhD in Mathematics, Indian Institute of Technology Delhi, July 2017-June 2022

Title of Thesis: Analysis and discretization for optimal control problems governed by fractional differential equations on metric graphs

Supervisor: Prof. Mani Mehra, Indian Institute of Technology Delhi

M.Sc. in Mathematics, Indian Institute of Technology Delhi, July 2014 - June 2016

Post PhD Experience:

Assistant Professor (Grade-I), Department of Mathematics, BITS Pilani, K K Birla Goa Campus (October 2024 - present)
Postdoctoral Fellow in CEMSE Division, Statistics Program, at King Abdullah University of Science and Technology (KAUST), Saudi Arabia (January 2023-September 2024)
EarlyDoc Fellow at Indian Institute of Technology Delhi (June 2022- September 2022)

Research Interests:

My research interest lies in the modelling, analysis and discretization of fractional differential equations and associated optimal control problems on metric graphs that arise in various fields of science and engineering. We investigate the well-posedness of the governing system and the existence of the unique optimal solution of the considered optimal control problem. Based on the theoretical findings, we then proposed the numerical methods to obtain the approximate solution of such problems.

Moreover, in many statistical applications, there is a need to model data on networks such as street networks in a city, or river networks. Therefore, for these applications, I am also interested in the study of random field models on such spatial domains that can be described by considering certain stochastic differential equations on the metric graph, and in developing computationally efficient methods to perform statistical inference (sampling, prediction) for such random fields on the abovementioned spatial domains.

In particular, my research interests can be described in the following areas:

Fractional Differential Equations
Optimal Control Problems
Numerical Analysis
Stochastic PDEs
Likelihood-based Statistical inference

Research Profiles:

Google Scholar: 5MxmuSgAAAAJ&hl=en
ORCID ID: 0000-0002-7292-1912

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