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Integrated First Degree

B.E.(Biotechnology)
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Vaibhav Mehandiratta

goa Mathematics

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

Journal Publications and Preprints

  • David Bolin, Vaibhav Mehandiratta and Alexandre B. Simas, Linear cost and exponentially convergent approximation of Gaussian Matérn processes, 2024, https://arxiv.org/abs/2410.13000.
  • Shweta Kumari, Abhishek Kumar Singh, Vaibhav Mehandiratta and Mani Mehra, High order approximation to Caputo derivative on graded mesh and time-fractional diffusion equation for nonsmooth solutions, Journal of Computational and Nonlinear Dynamics, 19, 2024, https://doi.org/10.1115/1.4066023.
  • Günter Leugering, Vaibhav Mehandiratta and Mani Mehra, Non-overlapping domain decomposition for 1d optimal control problems governed by time-fractional diffusion equations on coupled domains: optimality system and virtual controls, Fractal and Fractional, 8, pp.129, 2024, 10.3390/fractalfract8030129
  • Vaibhav Mehandiratta, Mani Mehra and Günter Leugering, Well-posedness, optimal control and discretisation for time-fractional parabolic equations with time-dependent coefficients on metric graphs, Asian Journal of Control, 25, pp. 2360-2377, 2023, https://doi.org/10.1002/asjc.2958.
  • Vaibhav Mehandiratta, Mani Mehra and Günter Leugering, Distributed optimal control problems driven by space-time fractional parabolic equations, Control and Cybernetics, 51, pp. 191-226, 2022, https://doi.org/10.2478/candc-2022-0014.
  • Abhishek Kumar Singh, Mani Mehra and Vaibhav Mehandiratta, Numerical solution of variable-order stochastic fractional integro-differential equation with a collocation method based on Müntz–Legendre polynomial, Mathematical Methods in the Applied Sciences, 45, pp. 8125-8141, 2022, https://doi.org/10.1002/mma.8076.
  • Vaibhav Mehandiratta, Mani Mehra and Günter Leugering, Optimal control problems driven by time-fractional diffusion equation on metric graphs: optimality system and finite difference approximation, SIAM Journal on Control and Optimization, 59, pp. 4216-4242, 2021, https://doi.org/10.1137/20M1340332.
  • Vaibhav Mehandiratta, Mani Mehra and Günter Leugering, Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: A study of fractional calculus on metric graph, Networks and Heterogeneous Media, 16, pp. 155-185, 2021, 10.3934/nhm.2021003.
  • Vaibhav Mehandiratta, Mani Mehra and Günter Leugering, Fractional optimal control problems on a star graph: Optimality system and numerical solution, Mathematical Control and Related Fields, 11, pp. 189-209, 2021, 10.3934/mcrf.2020033.
  • Vaibhav Mehandiratta and Mani Mehra, A difference scheme for the time-fractional diffusion equation on a metric star graph, Applied Numerical Mathematics, 158, pp. 152-163, 2020, https://doi.org/10.1016/j.apnum.2020.07.022.
  • Vaibhav Mehandiratta, Mani Mehra and Günter Leugering, An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems, Mathematical Methods in the Applied Sciences, 44, pp. 3195-3213, 2020, https://doi.org/10.1002/mma.6800.
  • Vaibhav Mehandiratta, Mani Mehra and Günter Leugering, Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph, Journal of Mathematical Analysis and Applications, 477, pp. 1243-1264, 2019, https://doi.org/10.1016/j.jmaa.2019.05.011.
 

In Conferences

  • Vaibhav Mehandiratta, Mani Mehra and Günter Leugering. Existence and uniqueness of time-fractional diffusion equation on a metric star graph. In A. Awasthi et al. (Eds.): CSMCS 2020, Communications in Computer and Information Science, 1345, pp. 25–41, 2021, 10.1007/978-981-16-4772-7_2.

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