A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs

DOI10.3934/dcdss.2022012zbMath1500.49002arXiv2110.03065OpenAlexW3202014050WikidataQ114022620 ScholiaQ114022620MaRDI QIDQ2090465

Ciprian G. Gal, Harbir Antil, Mahamadi Warma

Publication date: 25 October 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.03065

zbMATH Keywords

optimality conditionsoptimal solutionsgeneralized Caputo time-fractional derivativetime-fractional subdiffusive semilinear equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods for integral equations (65R20) Boundary value problems for PDEs with pseudodifferential operators (35S15) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Related Items (2)

Strong stationarity for optimal control problems with non-smooth integral equation constraints: application to a continuous DNN ⋮ Well-posedness results for nonlinear fractional diffusion equation with memory quantity

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