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Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation - MaRDI portal

Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation (Q5163691)

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scientific article; zbMATH DE number 7420720

Language	Label	Description	Also known as
English	Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation	scientific article; zbMATH DE number 7420720

Statements

scholarly article

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Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation (English)

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Vaibhav Mehandiratta

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Günter R. Leugering

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SIAM Journal on Control and Optimization

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publication date

5 November 2021

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zbMATH Keywords

time-fractional diffusion equation

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Caputo fractional derivative

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MaRDI profile type

MaRDI publication profile

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Formulation of Euler-Lagrange equations for fractional variational problems

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A general formulation and solution scheme for fractional optimal control problems

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Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

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A finite element method for quantum graphs

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Fractional optimal control problem for variational inequalities with control constraints

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Fractional optimal control problem for variable-order differential systems

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Resolvents for weakly singular kernels and fractional differential equations

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Sturm-Liouville eigenvalue problems on networks

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Quantum Graphs and Their Applications

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Wave propagation, observation and control in 1-\(d\) flexible multi-structures.

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Optimal solutions to relaxation in multiple control problems of Sobolev type with nonlocal nonlinear fractional differential equations

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The eigenvalue problem for networks of beams

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Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation

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Existence and uniqueness of solutions for a fractional boundary value problem on a graph

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Challenges in Optimal Control Problems for Gas and Fluid Flow in Networks of Pipes and Canals: From Modeling to Industrial Applications

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Existence of solutions for a class of fractional boundary value problems via critical point theory

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Collocation method for solving nonlinear fractional optimal control problems by using Hermite scaling function with error estimates

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Domain decomposition methods in optimal control of partial differential equations

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Modeling, analysis and control of dynamic elastic multi-link structures

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On the analysis and control of hyperbolic systems associated with vibrating networks

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Time optimal boundary controllability of a simple linear viscoelastic liquid

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Domain decomposition of optimal control problems for dynamic networks of elastic strings

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On the Modelling and Stabilization of Flows in Networks of Open Canals

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Anomalous Diffusion: Models, Their Analysis, and Interpretation

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Modeling the Cardiac Tissue Electrode Interface Using Fractional Calculus

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The Wright functions as solutions of the time-fractional diffusion equation.

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Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph

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An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems

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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

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Fractional optimal control problems on a star graph: optimality system and numerical solution

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Solutions of differential-difference equations arising from mathematical models of granulocytopoiesis

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An adaptive spectral graph wavelet method for PDEs on networks

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The random walk's guide to anomalous diffusion: A fractional dynamics approach

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Optimal control of a fractional Sturm–Liouville problem on a star graph

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Optimal control of fractional diffusion equation

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Gaussian estimates for a heat equation on a network

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Identifiability, stability and reconstruction results of point sources by boundary measurements in heterogeneous trees

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Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients

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Differential equations on networks (geometric graphs)

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Eigenfunctions of the Sturm-Liouville problem on a star graph

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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

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A fast adaptive spectral graph wavelet method for the viscous Burgers' equation on a star‐shaped connected graph

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On PDE solution in transient optimization of gas networks

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Simulation-Based Model Reduction for Partial Differential Equations on Networks

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The fractional diffusion equation

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full work available at URL

https://doi.org/10.1137/20m1340332

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Identifiers

zbMATH Open document ID

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10.1137/20M1340332

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5163691

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