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Fractional Semilinear Optimal Control: Optimality Conditions, Convergence, and Error Analysis

Enrique Otárola

2022SIAM Journal on Numerical Analysis21 citationsDOI

Abstract

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 30 July 2020Accepted: 10 August 2021Published online: 05 January 2022Keywordsoptimal control problem, fractional diffusion, integral fractional Laplacian, regularity estimates, finite elements, convergence, a priori error estimatesAMS Subject Headings35R11, 49J20, 49M25, 65K10, 65N15, 65N30Publication DataISSN (print): 0036-1429ISSN (online): 1095-7170Publisher: Society for Industrial and Applied MathematicsCODEN: sjnaam

Topics & Concepts

MathematicsConvergence (economics)Fractional LaplacianA priori and a posterioriApplied mathematicsError analysisOptimal controlFractional calculusControl (management)Mathematical optimizationCalculus (dental)Mathematical analysisComputer scienceArtificial intelligenceEpistemologyEconomic growthEconomicsDentistryPhilosophyMedicineFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNumerical methods for differential equations
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