Antoine, Xavier; Gaidamour, Jérémie; Lorin, Emmanuel Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 07801761 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N35 65M12 65N06 65F10 49M41 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{X. Antoine} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024; Zbl 07801761) Full Text: DOI
Porretta, Alessio Decay rates of convergence for Fokker-Planck equations with confining drift. (English) Zbl 07781629 Adv. Math. 436, Article ID 109393, 57 p. (2024). MSC: 35Q84 35K15 47G20 41A25 60G51 60G55 35B05 35F21 49L25 35D40 26A33 35R11 PDFBibTeX XMLCite \textit{A. Porretta}, Adv. Math. 436, Article ID 109393, 57 p. (2024; Zbl 07781629) Full Text: DOI arXiv
Zhang, Xiaoju; Lu, Yao; Liu, Dong Stability and optimal controls for time-space fractional Ginzburg-Landau systems. (English) Zbl 07785186 J. Optim. Theory Appl. 199, No. 3, 1106-1129 (2023). MSC: 49J20 35R11 35A01 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Optim. Theory Appl. 199, No. 3, 1106--1129 (2023; Zbl 07785186) Full Text: DOI
Barreto, Maria N. F.; Frederico, Gastão S. F.; Vanterler da C. Sousa, José; Nápoles Valdés, Juan E. Calculus of variations and optimal control with generalized derivative. (English) Zbl 07784548 Rocky Mt. J. Math. 53, No. 5, 1337-1370 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49K05 49S05 81Q05 49K20 49J50 PDFBibTeX XMLCite \textit{M. N. F. Barreto} et al., Rocky Mt. J. Math. 53, No. 5, 1337--1370 (2023; Zbl 07784548) Full Text: DOI Link
Zheng, Xiangcheng; Yang, Zhiwei; Li, Wuchen; Wang, Hong A time-fractional mean-field control modeling subdiffusive advective transport. (English) Zbl 07781026 SIAM J. Sci. Comput. 45, No. 6, B884-B905 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q49 76S05 74L10 49N80 49J20 49M41 35F21 35B36 65M60 26A33 35R11 PDFBibTeX XMLCite \textit{X. Zheng} et al., SIAM J. Sci. Comput. 45, No. 6, B884--B905 (2023; Zbl 07781026) Full Text: DOI
Mitake, Hiroyoshi; Sato, Shoichi On the rate of convergence in homogenization of time-fractional Hamilton-Jacobi equations. (English) Zbl 1523.35051 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 68, 27 p. (2023). MSC: 35B40 35B27 35D40 35F21 35F25 49L25 PDFBibTeX XMLCite \textit{H. Mitake} and \textit{S. Sato}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 68, 27 p. (2023; Zbl 1523.35051) Full Text: DOI arXiv
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
Liu, Chongyang; Gong, Zhaohua; Wang, Song; Teo, Kok Lay Numerical solution of delay fractional optimal control problems with free terminal time. (English) Zbl 1527.49024 Optim. Lett. 17, No. 6, 1359-1378 (2023). MSC: 49M37 65L05 34K37 49J15 49M25 PDFBibTeX XMLCite \textit{C. Liu} et al., Optim. Lett. 17, No. 6, 1359--1378 (2023; Zbl 1527.49024) Full Text: DOI
Mahmoudi, Mahmoud; Shojaeizadeh, Tahereh; Darehmiraki, Majid Optimal control of time-fractional convection-diffusion-reaction problem employing compact integrated RBF method. (English) Zbl 1516.49012 Math. Sci., Springer 17, No. 1, 1-14 (2023). MSC: 49J45 65M12 49K40 PDFBibTeX XMLCite \textit{M. Mahmoudi} et al., Math. Sci., Springer 17, No. 1, 1--14 (2023; Zbl 1516.49012) 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
Hrizi, M.; Novotny, A. A.; Prakash, R. Reconstruction of the source term in a time-fractional diffusion equation from partial domain measurement. (English) Zbl 1512.49037 J. Geom. Anal. 33, No. 6, Paper No. 168, 30 p. (2023). MSC: 49N45 35R11 35Q93 35C20 49M15 PDFBibTeX XMLCite \textit{M. Hrizi} et al., J. Geom. Anal. 33, No. 6, Paper No. 168, 30 p. (2023; Zbl 1512.49037) Full Text: DOI
Mortezaee, Marzieh; Ghovatmand, Mehdi; Nazemi, Alireza An application of a fuzzy system for solving time delay fractional optimal control problems with Atangana-Baleanu derivative. (English) Zbl 07754158 Optim. Control Appl. Methods 43, No. 6, 1753-1777 (2022). MSC: 93C42 93C23 34K37 49J15 PDFBibTeX XMLCite \textit{M. Mortezaee} et al., Optim. Control Appl. Methods 43, No. 6, 1753--1777 (2022; Zbl 07754158) Full Text: DOI
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter Distributed optimal control problems driven by space-time fractional parabolic equations. (English) Zbl 1511.49003 Control Cybern. 51, No. 2, 191-226 (2022). MSC: 49J20 35R11 PDFBibTeX XMLCite \textit{V. Mehandiratta} et al., Control Cybern. 51, No. 2, 191--226 (2022; Zbl 1511.49003) Full Text: DOI
Chiranjeevi, Tirumalasetty; Devarapalli, Ramesh; Babu, Naladi Ram; Vakkapatla, Kiran Babu; Rao, R. Gowri Sankara; Màrquez, Fausto Pedro Garcìa Fixed terminal time fractional optimal control problem for discrete time singular system. (English) Zbl 1504.93216 Arch. Control Sci. 32, No. 3, 489-506 (2022). MSC: 93C55 49N10 26A33 PDFBibTeX XMLCite \textit{T. Chiranjeevi} et al., Arch. Control Sci. 32, No. 3, 489--506 (2022; Zbl 1504.93216) 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
Antil, Harbir; Gal, Ciprian G.; Warma, Mahamadi A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs. (English) Zbl 1500.49002 Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 1883-1918 (2022). MSC: 49J20 49K20 35S15 65R20 35R11 35K58 PDFBibTeX XMLCite \textit{H. Antil} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 8, 1883--1918 (2022; Zbl 1500.49002) Full Text: DOI arXiv
Chen, Siqi; Chang, Yong-Kui Optimal controls for nonlocal Cauchy problems of multi-term fractional evolution equations. (English) Zbl 1502.49025 IMA J. Math. Control Inf. 39, No. 3, 912-929 (2022). Reviewer: Alfred Göpfert (Leipzig) MSC: 49K21 49K27 PDFBibTeX XMLCite \textit{S. Chen} and \textit{Y.-K. Chang}, IMA J. Math. Control Inf. 39, No. 3, 912--929 (2022; Zbl 1502.49025) Full Text: DOI
Nezhadhosein, Saeed; Ghanbari, Reza; Ghorbani-Moghadam, Khatere A numerical solution for fractional linear quadratic optimal control problems via shifted Legendre polynomials. (English) Zbl 1496.65097 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 158, 28 p. (2022). MSC: 65L60 65L10 34A08 49M41 PDFBibTeX XMLCite \textit{S. Nezhadhosein} et al., Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 158, 28 p. (2022; Zbl 1496.65097) Full Text: DOI
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
Chen, Yanping; Lin, Xiuxiu; Huang, Yunqing Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints. (English) Zbl 1524.49053 J. Comput. Appl. Math. 413, Article ID 114293, 15 p. (2022). MSC: 49M25 35R11 49J20 26A33 65M15 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Appl. Math. 413, Article ID 114293, 15 p. (2022; Zbl 1524.49053) Full Text: DOI
Malmir, Iman Caputo fractional derivative operational matrices of Legendre and Chebyshev wavelets in fractional delay optimal control. (English) Zbl 1492.42040 Numer. Algebra Control Optim. 12, No. 2, 395-426 (2022). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 26A33 49M25 65T60 49N10 PDFBibTeX XMLCite \textit{I. Malmir}, Numer. Algebra Control Optim. 12, No. 2, 395--426 (2022; Zbl 1492.42040) Full Text: DOI
Aadi, Sultana Ben; Akhlil, Khalid; Aayadi, Khadija Weak solutions to the time-fractional \(g\)-Navier-Stokes equations and optimal control. (English) Zbl 1492.35214 J. Appl. Anal. 28, No. 1, 135-147 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 76D05 26A33 35R11 35A01 35A02 35D30 49J20 49K20 PDFBibTeX XMLCite \textit{S. B. Aadi} et al., J. Appl. Anal. 28, No. 1, 135--147 (2022; Zbl 1492.35214) Full Text: DOI arXiv
Liu, Chongyang; Gong, Zhaohua; Teo, Kok Lay; Wang, Song Optimal control of nonlinear fractional-order systems with multiple time-varying delays. (English) Zbl 1492.49004 J. Optim. Theory Appl. 193, No. 1-3, 856-876 (2022). MSC: 49J10 34K37 49M37 90C55 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Optim. Theory Appl. 193, No. 1--3, 856--876 (2022; Zbl 1492.49004) Full Text: DOI
Giga, Yoshikazu; Mitake, Hiroyoshi; Sato, Shoichi On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation. (English) Zbl 1484.35378 J. Differ. Equations 316, 364-386 (2022). MSC: 35R11 35D30 35D40 35K20 49L25 PDFBibTeX XMLCite \textit{Y. Giga} et al., J. Differ. Equations 316, 364--386 (2022; Zbl 1484.35378) Full Text: DOI arXiv
Chiranjeevi, Tirumalasetty; Biswas, Raj Kumar; Devarapalli, Ramesh; Babu, Naladi Ram; García Márquez, Fausto Pedro On optimal control problem subject to fractional order discrete time singular systems. (English) Zbl 1495.93050 Arch. Control Sci. 31, No. 4, 849-863 (2021). MSC: 93C55 93C15 34A08 49J15 PDFBibTeX XMLCite \textit{T. Chiranjeevi} et al., Arch. Control Sci. 31, No. 4, 849--863 (2021; Zbl 1495.93050) Full Text: DOI
Bouallala, Mustapha; Essoufi, El-Hassan A thermo-viscoelastic fractional contact problem with normal compliance and Coulomb’s friction. (English) Zbl 1501.74056 J. Math. Phys. Anal. Geom. 17, No. 3, 280-294 (2021). MSC: 74M15 74M10 74D05 74F05 74H20 74S40 35Q74 49J40 PDFBibTeX XMLCite \textit{M. Bouallala} and \textit{E.-H. Essoufi}, J. Math. Phys. Anal. Geom. 17, No. 3, 280--294 (2021; Zbl 1501.74056) Full Text: DOI
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
Lapin, A.; Lapin, S.; Zhang, S. Approximation of a mean field game problem with Caputo time-fractional derivative. (English) Zbl 1479.49089 Lobachevskii J. Math. 42, No. 12, 2876-2889 (2021). MSC: 49N80 91A16 90C26 65K10 PDFBibTeX XMLCite \textit{A. Lapin} et al., Lobachevskii J. Math. 42, No. 12, 2876--2889 (2021; Zbl 1479.49089) Full Text: DOI
Durga, N.; Muthukumar, P.; Fu, Xianlong Stochastic time-optimal control for time-fractional Ginzburg-Landau equation with mixed fractional Brownian motion. (English) Zbl 1479.35833 Stochastic Anal. Appl. 39, No. 6, 1144-1165 (2021). MSC: 35Q56 26A33 35R11 49J20 60G22 60G57 60H15 35A01 PDFBibTeX XMLCite \textit{N. Durga} et al., Stochastic Anal. Appl. 39, No. 6, 1144--1165 (2021; Zbl 1479.35833) Full Text: DOI
Liu, Chongyang; Gong, Zhaohua; Yu, Changjun; Wang, Song; Teo, Kok Lay Optimal control computation for nonlinear fractional time-delay systems with state inequality constraints. (English) Zbl 1486.49043 J. Optim. Theory Appl. 191, No. 1, 83-117 (2021). Reviewer: Kai Diethelm (Schweinfurt) MSC: 49M37 34K37 49J21 65K05 90C55 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Optim. Theory Appl. 191, No. 1, 83--117 (2021; Zbl 1486.49043) Full Text: DOI
Gong, Zhaohua; Liu, Chongyang; Teo, Kok Lay; Wang, Song; Wu, Yonghong Numerical solution of free final time fractional optimal control problems. (English) Zbl 1510.49002 Appl. Math. Comput. 405, Article ID 126270, 15 p. (2021). MSC: 49J21 34A08 49M37 65L05 PDFBibTeX XMLCite \textit{Z. Gong} et al., Appl. Math. Comput. 405, Article ID 126270, 15 p. (2021; Zbl 1510.49002) Full Text: DOI
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Gunter Optimal control problems driven by time-fractional diffusion equations on metric graphs: optimality system and finite difference approximation. (English) Zbl 1476.35312 SIAM J. Control Optim. 59, No. 6, 4216-4242 (2021). MSC: 35R11 35Q93 35R02 26A33 49J20 49K20 93C20 PDFBibTeX XMLCite \textit{V. Mehandiratta} et al., SIAM J. Control Optim. 59, No. 6, 4216--4242 (2021; Zbl 1476.35312) Full Text: DOI
Yan, Zuomao Time optimal control of system governed by a fractional stochastic partial differential inclusion with Clarke subdifferential. (English) Zbl 1482.49021 Taiwanese J. Math. 25, No. 1, 155-181 (2021). Reviewer: Shokhrukh Kholmatov (Wien) MSC: 49J55 49J27 60H15 34K50 26A33 93E20 PDFBibTeX XMLCite \textit{Z. Yan}, Taiwanese J. Math. 25, No. 1, 155--181 (2021; Zbl 1482.49021) Full Text: DOI
Bahaa, G. M.; Tang, Qing Optimal control problem for coupled time-fractional evolution systems with control constraints. (English) Zbl 1476.49006 Differ. Equ. Dyn. Syst. 29, No. 3, 707-722 (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 49J20 35R11 PDFBibTeX XMLCite \textit{G. M. Bahaa} and \textit{Q. Tang}, Differ. Equ. Dyn. Syst. 29, No. 3, 707--722 (2021; Zbl 1476.49006) Full Text: DOI
Gomoyunov, M. I.; Lukoyanov, N. Yu. Construction of solutions to control problems for fractional-order linear systems based on approximation models. (English. Russian original) Zbl 1469.49030 Proc. Steklov Inst. Math. 313, Suppl. 1, S73-S82 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 1, 39-50 (2020). MSC: 49M25 49N05 PDFBibTeX XMLCite \textit{M. I. Gomoyunov} and \textit{N. Yu. Lukoyanov}, Proc. Steklov Inst. Math. 313, S73--S82 (2021; Zbl 1469.49030); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 1, 39--50 (2020) Full Text: DOI
El-Nabulsi, Rami Ahmad Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications. (English) Zbl 1480.58008 Differ. Geom. Appl. 77, Article ID 101775, 15 p. (2021). Reviewer: Laura Geatti (Roma) MSC: 58H05 53D17 20L05 49S05 22A22 34A08 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, Differ. Geom. Appl. 77, Article ID 101775, 15 p. (2021; Zbl 1480.58008) Full Text: DOI
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
Thuan, Mai V.; Niamsup, Piyapong; Phat, Vu N. Finite-time control analysis of nonlinear fractional-order systems subject to disturbances. (English) Zbl 1466.34011 Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1425-1441 (2021). MSC: 34A08 34H15 34D10 93D15 49J15 PDFBibTeX XMLCite \textit{M. V. Thuan} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1425--1441 (2021; Zbl 1466.34011) Full Text: DOI
Lopushansky, Andriy; Lopushansky, Oleh; Sharyn, Sergii Nonlinear inverse problem of control diffusivity parameter determination for a space-time fractional diffusion equation. (English) Zbl 1474.49082 Appl. Math. Comput. 390, Article ID 125589, 9 p. (2021). MSC: 49N45 35C05 35R11 35R30 49M41 PDFBibTeX XMLCite \textit{A. Lopushansky} et al., Appl. Math. Comput. 390, Article ID 125589, 9 p. (2021; Zbl 1474.49082) Full Text: DOI
Gong, Yuxuan; Li, Peijun; Wang, Xu; Xu, Xiang Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift. (English) Zbl 1475.35432 Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021). Reviewer: Robert Plato (Siegen) MSC: 35R60 26A33 35A01 35A02 35R11 35R30 35R25 49M37 60G60 60H40 60J65 65M30 65M32 65T50 90C25 35K20 PDFBibTeX XMLCite \textit{Y. Gong} et al., Inverse Probl. 37, No. 4, Article ID 045001, 23 p. (2021; Zbl 1475.35432) Full Text: DOI arXiv
Fu, Yongqiang; Yan, Lixu Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems. (English) Zbl 1479.49065 Open Math. 18, 1135-1149 (2020). Reviewer: Feng-Yu Wang (Swansea) MSC: 49K45 35K57 60H15 35A01 47H06 35D30 35R11 60H40 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{L. Yan}, Open Math. 18, 1135--1149 (2020; Zbl 1479.49065) Full Text: DOI
Ungureanu, Viorica Mariela Optimal control for discrete-time, linear fractional-order systems with Markovian jumps. (English) Zbl 1498.93788 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 21st international conference on geometry, integrability and quantization, Varna, Bulgaria, June 3–8, 2019. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 21, 291-301 (2020). MSC: 93E20 49N10 93C55 26A33 49L20 PDFBibTeX XMLCite \textit{V. M. Ungureanu}, Geom. Integrability Quantization 21, 291--301 (2020; Zbl 1498.93788) Full Text: DOI
Lian, Tingting; Li, Gang The solvability for time optimal problems governed by fractional systems. (Chinese. English summary) Zbl 1488.49018 J. Yangzhou Univ., Nat. Sci. Ed. 23, No. 2, 5-7, 35 (2020). MSC: 49J21 PDFBibTeX XMLCite \textit{T. Lian} and \textit{G. Li}, J. Yangzhou Univ., Nat. Sci. Ed. 23, No. 2, 5--7, 35 (2020; Zbl 1488.49018) Full Text: DOI
Jin, Bangti; Li, Buyang; Zhou, Zhi Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint. (English) Zbl 1464.65065 IMA J. Numer. Anal. 40, No. 1, 377-404 (2020). MSC: 65K10 49M41 PDFBibTeX XMLCite \textit{B. Jin} et al., IMA J. Numer. Anal. 40, No. 1, 377--404 (2020; Zbl 1464.65065) Full Text: DOI arXiv Link
Zhu, Shouguo; Li, Gang Approximation of fractional resolvents and applications to time optimal control problems. (English) Zbl 1455.47011 J. Appl. Anal. Comput. 10, No. 2, 649-666 (2020). MSC: 47D99 47A10 34A08 49J20 93C25 PDFBibTeX XMLCite \textit{S. Zhu} and \textit{G. Li}, J. Appl. Anal. Comput. 10, No. 2, 649--666 (2020; Zbl 1455.47011) Full Text: DOI
Feng, Binhua; Ren, Jiajia; Wang, Qingxuan Existence and instability of normalized standing waves for the fractional Schrödinger equations in the \(L^2\)-supercritical case. (English) Zbl 1454.35339 J. Math. Phys. 61, No. 7, 071511, 19 p. (2020). MSC: 35Q55 35Q41 35B35 35R11 35A01 35B44 49J35 PDFBibTeX XMLCite \textit{B. Feng} et al., J. Math. Phys. 61, No. 7, 071511, 19 p. (2020; Zbl 1454.35339) Full Text: DOI
Camilli, Fabio; Duisembay, Serikbolsyn Approximation of Hamilton-Jacobi equations with the Caputo time-fractional derivative. (English) Zbl 1452.35233 Minimax Theory Appl. 5, No. 2, 199-220 (2020). MSC: 35R11 35F21 65M06 65L12 49L25 PDFBibTeX XMLCite \textit{F. Camilli} and \textit{S. Duisembay}, Minimax Theory Appl. 5, No. 2, 199--220 (2020; Zbl 1452.35233) Full Text: arXiv Link
Olgiati, Alessandro; Rougerie, Nicolas Stability of the Laughlin phase against long-range interactions. (English) Zbl 1441.82019 Arch. Ration. Mech. Anal. 237, No. 3, 1475-1515 (2020). MSC: 82C22 82D05 82B20 81V70 81V10 49J53 26A33 35R11 PDFBibTeX XMLCite \textit{A. Olgiati} and \textit{N. Rougerie}, Arch. Ration. Mech. Anal. 237, No. 3, 1475--1515 (2020; Zbl 1441.82019) Full Text: DOI arXiv
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei Inverse source problem for a distributed-order time fractional diffusion equation. (English) Zbl 1509.35340 J. Inverse Ill-Posed Probl. 28, No. 1, 17-32 (2020). MSC: 35R11 35R30 45Q05 49N45 PDFBibTeX XMLCite \textit{X. Cheng} et al., J. Inverse Ill-Posed Probl. 28, No. 1, 17--32 (2020; Zbl 1509.35340) Full Text: DOI
Tian, Xiaochuan; Du, Qiang Asymptotically compatible schemes for robust discretization of parametrized problems with applications to nonlocal models. (English) Zbl 1485.65058 SIAM Rev. 62, No. 1, 199-227 (2020). MSC: 65J10 49M25 65N30 65R20 82C21 46N40 45A05 PDFBibTeX XMLCite \textit{X. Tian} and \textit{Q. Du}, SIAM Rev. 62, No. 1, 199--227 (2020; Zbl 1485.65058) Full Text: DOI
Ziaei, E.; Farahi, M. H. The approximate solution of non-linear time-delay fractional optimal control problems by embedding process. (English) Zbl 1477.49008 IMA J. Math. Control Inf. 36, No. 3, 713-727 (2019). MSC: 49J21 90C05 PDFBibTeX XMLCite \textit{E. Ziaei} and \textit{M. H. Farahi}, IMA J. Math. Control Inf. 36, No. 3, 713--727 (2019; Zbl 1477.49008) Full Text: DOI
Bahaa, Gaber M.; Torres, Delfim F. M. Time-fractional optimal control of initial value problems on time scales. (English) Zbl 1440.49033 Area, Iván (ed.) et al., Nonlinear analysis and boundary value problems. NABVP 2018, Santiago de Compostela, Spain, September 4–7, 2018. Proceedings of the international conference. Dedicated to Juan J. Nieto on the occasion of his 60th birthday. Cham: Springer. Springer Proc. Math. Stat. 292, 229-242 (2019). MSC: 49K99 34A08 34N05 PDFBibTeX XMLCite \textit{G. M. Bahaa} and \textit{D. F. M. Torres}, Springer Proc. Math. Stat. 292, 229--242 (2019; Zbl 1440.49033) Full Text: DOI arXiv
Yu, Xin; Zhang, Liang The bang-bang property of time and norm optimal control problems for parabolic equations with time-varying fractional Laplacian. (English) Zbl 1437.49037 ESAIM, Control Optim. Calc. Var. 25, Paper No. 7, 22 p. (2019). MSC: 49K30 49K20 PDFBibTeX XMLCite \textit{X. Yu} and \textit{L. Zhang}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 7, 22 p. (2019; Zbl 1437.49037) Full Text: DOI
Postnov, Sergeĭ S. Optimal control problems for certain linear fractional-order systems given by equations with Hilfer derivative. (English. Russian original) Zbl 1432.49047 Autom. Remote Control 80, No. 4, 744-760 (2019); translation from Probl. Upr. 2018, No. 5, 14-25 (2018). MSC: 49N05 PDFBibTeX XMLCite \textit{S. S. Postnov}, Autom. Remote Control 80, No. 4, 744--760 (2019; Zbl 1432.49047); translation from Probl. Upr. 2018, No. 5, 14--25 (2018) Full Text: DOI
Chang, Yong-Kui; Ponce, Rodrigo Sobolev type time fractional differential equations and optimal controls with the order in \((1,2)\). (English) Zbl 1463.34255 Differ. Integral Equ. 32, No. 9-10, 517-540 (2019). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 34G20 34A08 49J21 PDFBibTeX XMLCite \textit{Y.-K. Chang} and \textit{R. Ponce}, Differ. Integral Equ. 32, No. 9--10, 517--540 (2019; Zbl 1463.34255)
Ostalczyk, Piotr; Sankowski, Dominik; Bąkała, Marcin; Nowakowski, Jacek Fractional-order value identification of the discrete integrator from a noised signal. I. (English) Zbl 1439.93010 Fract. Calc. Appl. Anal. 22, No. 1, 217-235 (2019). MSC: 93C55 94A12 37N35 49M25 65D30 65Q10 PDFBibTeX XMLCite \textit{P. Ostalczyk} et al., Fract. Calc. Appl. Anal. 22, No. 1, 217--235 (2019; Zbl 1439.93010) Full Text: DOI
Cheng, Xiao-liang; Yuan, Le-le; Liang, Ke-wei A modified Tikhonov regularization method for a Cauchy problem of a time fractional diffusion equation. (English) Zbl 1449.35432 Appl. Math., Ser. B (Engl. Ed.) 34, No. 3, 284-308 (2019). MSC: 35R11 45Q05 49N45 PDFBibTeX XMLCite \textit{X.-l. Cheng} et al., Appl. Math., Ser. B (Engl. Ed.) 34, No. 3, 284--308 (2019; Zbl 1449.35432) Full Text: DOI
Hyder, Abd-Allah; EL-Badawy, M. Distributed control for time-fractional differential system involving Schrödinger operator. (English) Zbl 1422.49006 J. Funct. Spaces 2019, Article ID 1389787, 8 p. (2019). MSC: 49J20 49N10 PDFBibTeX XMLCite \textit{A.-A. Hyder} and \textit{M. EL-Badawy}, J. Funct. Spaces 2019, Article ID 1389787, 8 p. (2019; Zbl 1422.49006) Full Text: DOI
Djida, Jean-Daniel; Mophou, Gisèle; Area, Iván Optimal control of diffusion equation with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel. (English) Zbl 1421.49004 J. Optim. Theory Appl. 182, No. 2, 540-557 (2019). MSC: 49J20 49K20 26A33 PDFBibTeX XMLCite \textit{J.-D. Djida} et al., J. Optim. Theory Appl. 182, No. 2, 540--557 (2019; Zbl 1421.49004) Full Text: DOI arXiv
Zhang, Chenyang; Liu, Huipo; Zhou, Zhaojie A priori error analysis for time-stepping discontinuous Galerkin finite element approximation of time fractional optimal control problem. (English) Zbl 1419.49028 J. Sci. Comput. 80, No. 2, 993-1018 (2019). MSC: 49K20 49J20 65N15 65N30 PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Sci. Comput. 80, No. 2, 993--1018 (2019; Zbl 1419.49028) Full Text: DOI
Lapin, A.; Laitinen, Erkki Efficient iterative method for solving optimal control problem governed by diffusion equation with time fractional derivative. (English) Zbl 1416.65272 Lobachevskii J. Math. 40, No. 4, 479-488 (2019). MSC: 65M06 35R11 49M25 65M12 PDFBibTeX XMLCite \textit{A. Lapin} and \textit{E. Laitinen}, Lobachevskii J. Math. 40, No. 4, 479--488 (2019; Zbl 1416.65272) Full Text: DOI
Gómez, José Francisco (ed.); Torres, Lizeth (ed.); Escobar, Ricardo Fabricio (ed.) Fractional derivatives with Mittag-Leffler kernel. Trends and applications in science and engineering. (English) Zbl 1411.34006 Studies in Systems, Decision and Control 194. Cham: Springer (ISBN 978-3-030-11661-3/hbk; 978-3-030-11662-0/ebook). viii, 341 p. (2019). MSC: 34-06 35-06 26-06 49-06 74-06 92-06 34A08 35R11 26A33 49Kxx 74Sxx 92D30 92Exx 00B15 PDFBibTeX XMLCite \textit{J. F. Gómez} (ed.) et al., Fractional derivatives with Mittag-Leffler kernel. Trends and applications in science and engineering. Cham: Springer (2019; Zbl 1411.34006) Full Text: DOI
Bin, Maojun Time optimal control for semilinear fractional evolution feedback control systems. (English) Zbl 1412.49074 Optimization 68, No. 4, 819-832 (2019). MSC: 49N35 49J15 34A08 47N70 PDFBibTeX XMLCite \textit{M. Bin}, Optimization 68, No. 4, 819--832 (2019; Zbl 1412.49074) Full Text: DOI
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems. (English) Zbl 1462.65161 J. Comput. Appl. Math. 351, 344-363 (2019). MSC: 65M70 65K05 35R11 35R07 41A21 49M25 PDFBibTeX XMLCite \textit{S. Hosseinpour} et al., J. Comput. Appl. Math. 351, 344--363 (2019; Zbl 1462.65161) 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
Gubanova, Irina; Obukhovskii, Valeri; Wen, Ching-Feng On some optimization problems for a class of fractional order feedback control systems. (English) Zbl 1484.49004 Appl. Anal. Optim. 2, No. 1, 47-57 (2018). MSC: 49J15 34A08 34G25 35K05 35K57 35R11 47H04 93C25 PDFBibTeX XMLCite \textit{I. Gubanova} et al., Appl. Anal. Optim. 2, No. 1, 47--57 (2018; Zbl 1484.49004) Full Text: Link
Wang, Yu-Lan; Du, Ming-Jing; Temuer, Chao-Lu; Tian, Dan Using reproducing kernel for solving a class of time-fractional telegraph equation with initial value conditions. (English) Zbl 1499.65602 Int. J. Comput. Math. 95, No. 8, 1609-1621 (2018). MSC: 65M99 26A33 35R11 49K20 PDFBibTeX XMLCite \textit{Y.-L. Wang} et al., Int. J. Comput. Math. 95, No. 8, 1609--1621 (2018; Zbl 1499.65602) Full Text: DOI
Li, Shengyue; Zhou, Zhaojie Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation. (English) Zbl 1499.65568 Int. J. Comput. Math. 95, No. 6-7, 1308-1325 (2018). MSC: 65M70 65M06 65N35 49M25 26A33 35R11 49K20 PDFBibTeX XMLCite \textit{S. Li} and \textit{Z. Zhou}, Int. J. Comput. Math. 95, No. 6--7, 1308--1325 (2018; Zbl 1499.65568) Full Text: DOI
Lian, TingTing; Fan, ZhenBin; Li, Gang Time optimal controls for fractional differential systems with Riemann-Liouville derivatives. (English) Zbl 1425.93137 Fract. Calc. Appl. Anal. 21, No. 6, 1524-1541 (2018). MSC: 93C23 26A33 49J15 34K37 PDFBibTeX XMLCite \textit{T. Lian} et al., Fract. Calc. Appl. Anal. 21, No. 6, 1524--1541 (2018; Zbl 1425.93137) Full Text: DOI
Yıldız, Tuğba Akman; Arshad, Sadia; Baleanu, Dumitru Optimal chemotherapy and immunotherapy schedules for a cancer-obesity model with Caputo time fractional derivative. (English) Zbl 1407.49075 Math. Methods Appl. Sci. 41, No. 18, 9390-9407 (2018). MSC: 49S05 49K99 34A08 37N25 92B05 65L07 92C20 92C50 PDFBibTeX XMLCite \textit{T. A. Yıldız} et al., Math. Methods Appl. Sci. 41, No. 18, 9390--9407 (2018; Zbl 1407.49075) Full Text: DOI arXiv
Zhou, Zhaojie; Zhang, Chenyang Time-stepping discontinuous Galerkin approximation of optimal control problem governed by time fractional diffusion equation. (English) Zbl 1400.49035 Numer. Algorithms 79, No. 2, 437-455 (2018). MSC: 49M25 49K20 49J20 65M60 65M15 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{C. Zhang}, Numer. Algorithms 79, No. 2, 437--455 (2018; Zbl 1400.49035) Full Text: DOI
Bahaa, G. M. Time-optimal control problem for time-fractional differential system using Dubovitskii-Milyutin method. (English) Zbl 1436.49028 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 25, No. 3, 175-195 (2018). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49K20 46C05 PDFBibTeX XMLCite \textit{G. M. Bahaa}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 25, No. 3, 175--195 (2018; Zbl 1436.49028) Full Text: Link
Trujillo, J. J.; Ungureanu, V. M. Optimal control of discrete-time linear fractional-order systems with multiplicative noise. (English) Zbl 1390.93872 Int. J. Control 91, No. 1, 57-69 (2018). MSC: 93E20 49N10 93C55 90C39 93B17 PDFBibTeX XMLCite \textit{J. J. Trujillo} and \textit{V. M. Ungureanu}, Int. J. Control 91, No. 1, 57--69 (2018; Zbl 1390.93872) Full Text: DOI arXiv
Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M. Combined fractional variational problems of variable order and some computational aspects. (English) Zbl 1392.49023 J. Comput. Appl. Math. 339, 374-388 (2018). MSC: 49M05 26A33 34A08 PDFBibTeX XMLCite \textit{D. Tavares} et al., J. Comput. Appl. Math. 339, 374--388 (2018; Zbl 1392.49023) Full Text: DOI arXiv
Malinowska, Agnieszka B.; Odzijewicz, Tatiana Optimal control of discrete-time fractional multi-agent systems. (English) Zbl 1392.49032 J. Comput. Appl. Math. 339, 258-274 (2018). Reviewer: Andrzej Świerniak (Gliwice) MSC: 49K30 68T42 26A33 39A10 93C55 90C25 PDFBibTeX XMLCite \textit{A. B. Malinowska} and \textit{T. Odzijewicz}, J. Comput. Appl. Math. 339, 258--274 (2018; Zbl 1392.49032) Full Text: DOI
Dzieliński, Andrzej Optimal control for discrete fractional systems. (English) Zbl 1426.49033 Babiarz, Artur (ed.) et al., Theory and applications of non-integer order systems. Papers of the 8th conference on non-integer order calculus and its applications, Zakopane, Poland, September 20–21, 2016. Cham: Springer. Lect. Notes Electr. Eng. 407, 175-185 (2017). MSC: 49M37 PDFBibTeX XMLCite \textit{A. Dzieliński}, Lect. Notes Electr. Eng. 407, 175--185 (2017; Zbl 1426.49033) Full Text: DOI
Lian, Tingting; Fan, Zhenbin; Li, Gang Lagrange optimal controls and time optimal controls for composite fractional relaxation systems. (English) Zbl 1422.34043 Adv. Difference Equ. 2017, Paper No. 233, 14 p. (2017). MSC: 34A08 34K37 26A33 49J27 45J05 PDFBibTeX XMLCite \textit{T. Lian} et al., Adv. Difference Equ. 2017, Paper No. 233, 14 p. (2017; Zbl 1422.34043) Full Text: DOI
Bahaa, G. Mohamed Fractional optimal control problem for differential system with delay argument. (English) Zbl 1422.49003 Adv. Difference Equ. 2017, Paper No. 69, 19 p. (2017). MSC: 49J20 49K20 93C20 26A33 PDFBibTeX XMLCite \textit{G. M. Bahaa}, Adv. Difference Equ. 2017, Paper No. 69, 19 p. (2017; Zbl 1422.49003) Full Text: DOI
Dehghan, Reza; Keyanpour, Mohammad A numerical approximation for delay fractional optimal control problems based on the method of moments. (English) Zbl 1400.49031 IMA J. Math. Control Inf. 34, No. 1, 77-92 (2017). MSC: 49M25 34A08 PDFBibTeX XMLCite \textit{R. Dehghan} and \textit{M. Keyanpour}, IMA J. Math. Control Inf. 34, No. 1, 77--92 (2017; Zbl 1400.49031) Full Text: DOI
El-Nabulsi, Rami Ahmad Complex backward-forward derivative operator in non-local-in-time Lagrangians mechanics. (English) Zbl 1499.70021 Qual. Theory Dyn. Syst. 16, No. 2, 223-234 (2017). MSC: 70S05 26A33 49S05 70H30 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, Qual. Theory Dyn. Syst. 16, No. 2, 223--234 (2017; Zbl 1499.70021) Full Text: DOI
Postnov, S. S. Optimal control problems for linear fractional-order systems defined by equations with Hadamard derivative. (English. Russian original) Zbl 1382.49019 Dokl. Math. 96, No. 2, 531-534 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 2, 143-147 (2017). MSC: 49K21 PDFBibTeX XMLCite \textit{S. S. Postnov}, Dokl. Math. 96, No. 2, 531--534 (2017; Zbl 1382.49019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 2, 143--147 (2017) Full Text: DOI
Kaczorek, Tadeusz Minimum energy control of fractional descriptor discrete-time linear systems with bounded inputs using the DRAZIN inverse. (English) Zbl 1386.93043 Asian J. Control 19, No. 6, 2211-2218 (2017). MSC: 93B03 93C55 93C05 49N90 PDFBibTeX XMLCite \textit{T. Kaczorek}, Asian J. Control 19, No. 6, 2211--2218 (2017; Zbl 1386.93043) Full Text: DOI
Adam, L.; Outrata, J.; Roubíček, T. Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains. (English) Zbl 1379.35327 Optimization 66, No. 12, 2025-2049 (2017). MSC: 35Q90 49N10 65K15 65M32 74M15 74P10 90C20 74S05 93B30 93C20 74S20 PDFBibTeX XMLCite \textit{L. Adam} et al., Optimization 66, No. 12, 2025--2049 (2017; Zbl 1379.35327) Full Text: DOI arXiv
Wu, Shu-Lin Optimized overlapping Schwarz waveform relaxation for a class of time-fractional diffusion problems. (English) Zbl 1457.65092 J. Sci. Comput. 72, No. 2, 842-862 (2017). MSC: 65M55 65M12 49J35 35R11 PDFBibTeX XMLCite \textit{S.-L. Wu}, J. Sci. Comput. 72, No. 2, 842--862 (2017; Zbl 1457.65092) Full Text: DOI
Mophou, Gisèle Optimal control for fractional diffusion equations with incomplete data. (English) Zbl 1391.49044 J. Optim. Theory Appl. 174, No. 1, 176-196 (2017). Reviewer: Aygul Manapova (Ufa) MSC: 49K20 49J20 26A33 PDFBibTeX XMLCite \textit{G. Mophou}, J. Optim. Theory Appl. 174, No. 1, 176--196 (2017; Zbl 1391.49044) Full Text: DOI
Wei, Yiheng; Du, Bin; Cheng, Songsong; Wang, Yong Fractional order systems time-optimal control and its application. (English) Zbl 1377.49007 J. Optim. Theory Appl. 174, No. 1, 122-138 (2017). MSC: 49J30 26A33 33B15 68M14 PDFBibTeX XMLCite \textit{Y. Wei} et al., J. Optim. Theory Appl. 174, No. 1, 122--138 (2017; Zbl 1377.49007) Full Text: DOI
Sajewski, Łukasz Minimum energy control of descriptor fractional discrete-time linear systems with two different fractional orders. (English) Zbl 1367.93064 Int. J. Appl. Math. Comput. Sci. 27, No. 1, 33-41 (2017). MSC: 93B03 93C55 93C05 49N90 PDFBibTeX XMLCite \textit{Ł. Sajewski}, Int. J. Appl. Math. Comput. Sci. 27, No. 1, 33--41 (2017; Zbl 1367.93064) Full Text: DOI
Chiranjeevi, Tirumalasetty; Biswas, Raj Kumar Discrete-time fractional optimal control. (English) Zbl 1368.49026 Mathematics 5, No. 2, Paper No. 25, 12 p. (2017). MSC: 49K21 93C55 49M30 PDFBibTeX XMLCite \textit{T. Chiranjeevi} and \textit{R. K. Biswas}, Mathematics 5, No. 2, Paper No. 25, 12 p. (2017; Zbl 1368.49026) Full Text: DOI
Ruan, Zhousheng; Yang, Zhijian; Lu, Xiliang An inverse source problem with sparsity constraint for the time-fractional diffusion equation. (English) Zbl 1488.65383 Adv. Appl. Math. Mech. 8, No. 1, 1-18 (2016). MSC: 65M32 49M15 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Ruan} et al., Adv. Appl. Math. Mech. 8, No. 1, 1--18 (2016; Zbl 1488.65383) Full Text: DOI
Zhou, Zhaojie; Gong, Wei Finite element approximation of optimal control problems governed by time fractional diffusion equation. (English) Zbl 1443.65235 Comput. Math. Appl. 71, No. 1, 301-318 (2016). MSC: 65M60 65M15 35R11 49J20 49K20 49M25 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{W. Gong}, Comput. Math. Appl. 71, No. 1, 301--318 (2016; Zbl 1443.65235) Full Text: DOI
Bhrawy, A. H.; Ezz-Eldien, S. S. A new Legendre operational technique for delay fractional optimal control problems. (English) Zbl 1377.49032 Calcolo 53, No. 4, 521-543 (2016). MSC: 49M30 49M25 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{S. S. Ezz-Eldien}, Calcolo 53, No. 4, 521--543 (2016; Zbl 1377.49032) Full Text: DOI
Almeida, Ricardo Fractional variational problems depending on indefinite integrals and with delay. (English) Zbl 1356.49035 Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1515-1528 (2016). MSC: 49K21 49S05 26A33 34A08 PDFBibTeX XMLCite \textit{R. Almeida}, Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1515--1528 (2016; Zbl 1356.49035) Full Text: DOI arXiv
Mititelu, Stefan; Balan, Vladimir Duality theory for the vector rational multi-time variational problem on manifolds based on \((\rho,b)\)-geodesic quasiinvexity. (English) Zbl 1353.49048 Balan, Vladimir (ed.) et al., Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2015), Bucharest, Romania, October 8–11, 2015. Dedicated to the 75th anniversary of Constantin Udrişte. Bucharest: Geometry Balkan Press. BSG Proceedings 23, 29-42, electronic only (2016). MSC: 49N15 49K21 49K15 49Q99 90C29 26B25 PDFBibTeX XMLCite \textit{S. Mititelu} and \textit{V. Balan}, BSG Proc. 23, 29--42 (2016; Zbl 1353.49048) Full Text: Link
Kubyshkin, V. A.; Postnov, S. S. Optimal control problem investigation for linear time-invariant systems of fractional order with lumped parameters described by equations with Riemann-Liouville derivative. (English) Zbl 1347.49006 J. Control Sci. Eng. 2016, Article ID 4873083, 12 p. (2016). MSC: 49J30 93C15 34A08 PDFBibTeX XMLCite \textit{V. A. Kubyshkin} and \textit{S. S. Postnov}, J. Control Sci. Eng. 2016, Article ID 4873083, 12 p. (2016; Zbl 1347.49006) Full Text: DOI
Ye, Xingyang; Xu, Chuanju A space-time spectral method for the time fractional diffusion optimal control problems. (English) Zbl 1422.35181 Adv. Difference Equ. 2015, Paper No. 156, 20 p. (2015). MSC: 35R11 65M70 49J20 34A08 PDFBibTeX XMLCite \textit{X. Ye} and \textit{C. Xu}, Adv. Difference Equ. 2015, Paper No. 156, 20 p. (2015; Zbl 1422.35181) Full Text: DOI
Ruan, Zhousheng; Yang, Jerry Zhijian; Lu, Xiliang Tikhonov regularisation method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation. (English) Zbl 1457.65086 East Asian J. Appl. Math. 5, No. 3, 273-300 (2015). MSC: 65M32 65M12 65J20 49M15 49N45 35B65 35R11 PDFBibTeX XMLCite \textit{Z. Ruan} et al., East Asian J. Appl. Math. 5, No. 3, 273--300 (2015; Zbl 1457.65086) Full Text: DOI
Ye, Xingyang; Xu, Chuanju A posteriori error estimates for the fractional optimal control problems. (English) Zbl 1376.49029 J. Inequal. Appl. 2015, Paper No. 141, 13 p. (2015). MSC: 49K20 49M30 PDFBibTeX XMLCite \textit{X. Ye} and \textit{C. Xu}, J. Inequal. Appl. 2015, Paper No. 141, 13 p. (2015; Zbl 1376.49029) Full Text: DOI