Zhang, Jiaqi; Yang, Yin; Zhou, Zhaojie Spectral Galerkin approximation of fractional optimal control problems with fractional Laplacian. (English) Zbl 07787036 Adv. Appl. Math. Mech. 15, No. 6, 1631-1654 (2023). MSC: 35Q93 49M25 49M41 35R11 PDFBibTeX XMLCite \textit{J. Zhang} et al., Adv. Appl. Math. Mech. 15, No. 6, 1631--1654 (2023; Zbl 07787036) Full Text: DOI
Fan, Wei; Hu, Xindi; Zhu, Shengfeng Numerical reconstruction of a discontinuous diffusive coefficient in variable-order time-fractional subdiffusion. (English) Zbl 1515.35291 J. Sci. Comput. 96, No. 1, Paper No. 13, 33 p. (2023). MSC: 35Q93 35R30 49M41 65M32 PDFBibTeX XMLCite \textit{W. Fan} et al., J. Sci. Comput. 96, No. 1, Paper No. 13, 33 p. (2023; Zbl 1515.35291) Full Text: DOI
Ge, Fudong; Chen, YangQuan Optimal regional control for a class of semilinear time-fractional diffusion systems with distributed feedback. (English) Zbl 1511.35354 Fract. Calc. Appl. Anal. 26, No. 2, 651-671 (2023). MSC: 35Q93 35R11 26A33 49J20 93C20 93B52 PDFBibTeX XMLCite \textit{F. Ge} and \textit{Y. Chen}, Fract. Calc. Appl. Anal. 26, No. 2, 651--671 (2023; Zbl 1511.35354) Full Text: DOI
Fan, Wei; Hu, Xindi; Zhu, Shengfeng Modelling, analysis, and numerical methods for a geometric inverse source problem in variable-order time-fractional subdiffusion. (English) Zbl 1514.35483 Inverse Probl. Imaging 17, No. 4, 767-797 (2023). MSC: 35R30 35R11 49Q10 65M60 PDFBibTeX XMLCite \textit{W. Fan} et al., Inverse Probl. Imaging 17, No. 4, 767--797 (2023; Zbl 1514.35483) Full Text: DOI
Wang, Tao; Li, Binjie; Xie, Xiaoping Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation. (English) Zbl 1504.65216 Comput. Math. Appl. 128, 1-11 (2022). MSC: 65M60 35R11 49M41 PDFBibTeX XMLCite \textit{T. Wang} et al., Comput. Math. Appl. 128, 1--11 (2022; Zbl 1504.65216) Full Text: DOI arXiv
Hu, Xindi; Zhu, Shengfeng On geometric inverse problems in time-fractional subdiffusion. (English) Zbl 1501.35437 SIAM J. Sci. Comput. 44, No. 6, A3560-A3591 (2022). MSC: 35R11 35R30 35K20 49Q10 65M60 PDFBibTeX XMLCite \textit{X. Hu} and \textit{S. Zhu}, SIAM J. Sci. Comput. 44, No. 6, A3560--A3591 (2022; Zbl 1501.35437) Full Text: DOI
Nasresfahani, F.; Eslahchi, M. R. Numerical solution of optimal control of atherosclerosis using direct and indirect methods with shooting/collocation approach. (English) Zbl 1524.90298 Comput. Math. Appl. 126, 60-76 (2022). MSC: 90C30 49M25 49J20 49K20 92C50 PDFBibTeX XMLCite \textit{F. Nasresfahani} and \textit{M. R. Eslahchi}, Comput. Math. Appl. 126, 60--76 (2022; Zbl 1524.90298) Full Text: DOI arXiv
Zheng, Xiangcheng; Wang, Hong Discretization and analysis of an optimal control of a variable-order time-fractional diffusion equation with pointwise constraints. (English) Zbl 07545417 J. Sci. Comput. 91, No. 2, Paper No. 56, 22 p. (2022). MSC: 65Mxx 49Mxx 35Kxx PDFBibTeX XMLCite \textit{X. Zheng} and \textit{H. Wang}, J. Sci. Comput. 91, No. 2, Paper No. 56, 22 p. (2022; Zbl 07545417) Full Text: DOI
Li, Shengyue; Cao, Wanrong; Wang, Yibo On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation. (English) Zbl 1524.65893 Comput. Math. Appl. 107, 104-116 (2022). MSC: 65N35 65N30 35R11 49M25 41A10 26A33 65N12 65N15 35B65 PDFBibTeX XMLCite \textit{S. Li} et al., Comput. Math. Appl. 107, 104--116 (2022; Zbl 1524.65893) Full Text: DOI arXiv
Liu, Jie; Zhou, Zhaojie Finite element approximation of time fractional optimal control problem with integral state constraint. (English) Zbl 1484.49055 AIMS Math. 6, No. 1, 979-997 (2021). MSC: 49M25 49J20 65N30 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Z. Zhou}, AIMS Math. 6, No. 1, 979--997 (2021; Zbl 1484.49055) Full Text: DOI
Camilli, Fabio; Duisembay, Serikbolsyn; Tang, Qing Approximation of an optimal control problem for the time-fractional Fokker-Planck equation. (English) Zbl 1478.65073 J. Dyn. Games 8, No. 4, 381-402 (2021). MSC: 65M06 35R11 49N80 91A16 65M12 PDFBibTeX XMLCite \textit{F. Camilli} et al., J. Dyn. Games 8, No. 4, 381--402 (2021; Zbl 1478.65073) Full Text: DOI arXiv
Zhou, Qin; Li, Binjie Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation. (English) Zbl 1466.49030 J. Sci. Comput. 88, No. 1, Paper No. 5, 28 p. (2021). MSC: 49M41 49M25 35R11 65K10 PDFBibTeX XMLCite \textit{Q. Zhou} and \textit{B. Li}, J. Sci. Comput. 88, No. 1, Paper No. 5, 28 p. (2021; Zbl 1466.49030) Full Text: DOI arXiv
Zheng, Xiangcheng; Wang, Hong A hidden-memory variable-order time-fractional optimal control model: analysis and approximation. (English) Zbl 1466.49025 SIAM J. Control Optim. 59, No. 3, 1851-1880 (2021). MSC: 49K40 26A33 35K20 49K20 65M12 65M60 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{H. Wang}, SIAM J. Control Optim. 59, No. 3, 1851--1880 (2021; Zbl 1466.49025) Full Text: DOI
Gunzburger, Max; Wang, Jilu Error analysis of fully discrete finite element approximations to an optimal control problem governed by a time-fractional PDE. (English) Zbl 1417.65171 SIAM J. Control Optim. 57, No. 1, 241-263 (2019). MSC: 65M60 65M15 35K20 65M12 35R11 49J20 65R20 PDFBibTeX XMLCite \textit{M. Gunzburger} and \textit{J. Wang}, SIAM J. Control Optim. 57, No. 1, 241--263 (2019; Zbl 1417.65171) Full Text: DOI