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A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation

Xiangcheng Zheng, Wang Hong

2021SIAM Journal on Control and Optimization65 citationsDOI

Abstract

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 11 June 2020Accepted: 19 February 2021Published online: 11 May 2021Keywordsoptimal control, variable-order time-fractional diffusion equation, well-posedness, regularity, finite element method, error estimateAMS Subject Headings26A33, 35K20, 49K20, 65M12, 65M60Publication DataISSN (print): 0363-0129ISSN (online): 1095-7138Publisher: Society for Industrial and Applied MathematicsCODEN: sjcodc

Topics & Concepts

MathematicsVariable (mathematics)Order (exchange)Optimal controlApplied mathematicsControl variableControl (management)Fractional calculusMathematical optimizationControl theory (sociology)Mathematical economicsMathematical analysisComputer scienceStatisticsArtificial intelligenceEconomicsFinanceFractional Differential Equations SolutionsAdvanced Control Systems DesignDifferential Equations and Numerical Methods