V
Vaibhav Mehandiratta
Researcher at Indian Institute of Technology Delhi
Publications - 10
Citations - 154
Vaibhav Mehandiratta is an academic researcher from Indian Institute of Technology Delhi. The author has contributed to research in topics: Fractional calculus & Metric (mathematics). The author has an hindex of 5, co-authored 8 publications receiving 68 citations.
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Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph
TL;DR: In this paper, a nonlinear Caputo fractional boundary value problem on a star graph is studied, and the existence and uniqueness results by fixed point theory are established by using Banach's contraction principle and Schaefer's fixed point theorem.
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Fractional optimal control problems on a star graph: Optimality system and numerical solution
TL;DR: In this article, the adjoint state and the optimality system are derived for fractional optimal control problem (FOCP) by using the Lagrange multiplier method, then, the existence and uniqueness of solution of the adjointed equation is proved by means of the Banach contraction principle.
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An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems
TL;DR: A neural network problem modeled by a system of nonlinear fractional differential equations is solved using the proposed method and the numerical results show that the proposed numerical approach is efficient.
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A difference scheme for the time-fractional diffusion equation on a metric star graph
Vaibhav Mehandiratta,Mani Mehra +1 more
TL;DR: In this paper, an unconditionally stable numerical scheme based on finite difference for the approximation of time-fractional diffusion equation on a metric star graph is proposed, and the convergence and stability of the difference scheme has been proved by means of energy method.
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Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation
TL;DR: In this article, the authors studied optimal control problems for time-fractional diffusion equations on metric graphs, where the fractional derivative is considered in the Caputo sense, using eigenfunction expansions for the...