Biagi, Stefano; Dipierro, Serena; Valdinoci, Enrico; Vecchi, Eugenio A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators. (English) Zbl 07817649 Math. Eng. (Springfield) 5, No. 1, Paper No. 14, 25 p. (2023). MSC: 35-XX 49-XX PDFBibTeX XMLCite \textit{S. Biagi} et al., Math. Eng. (Springfield) 5, No. 1, Paper No. 14, 25 p. (2023; Zbl 07817649) Full Text: DOI arXiv
Zhu, Shouguo Optimal controls for fractional backward nonlocal evolution systems. (English) Zbl 1519.49002 Numer. Funct. Anal. Optim. 44, No. 8, 794-814 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49J15 49J27 34A08 26A33 34G10 35R11 47D06 PDFBibTeX XMLCite \textit{S. Zhu}, Numer. Funct. Anal. Optim. 44, No. 8, 794--814 (2023; Zbl 1519.49002) Full Text: DOI
Du, Qiang; Zhou, Zhi Nonlocal-in-time dynamics and crossover of diffusive regimes. (English) Zbl 1524.35783 Int. J. Numer. Anal. Model. 20, No. 3, 353-370 (2023). MSC: 35R35 49J40 60G40 PDFBibTeX XMLCite \textit{Q. Du} and \textit{Z. Zhou}, Int. J. Numer. Anal. Model. 20, No. 3, 353--370 (2023; Zbl 1524.35783) Full Text: DOI arXiv
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
Suechoei, Apassara; Sa Ngiamsunthorn, Parinya Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term. (English) Zbl 1502.34012 Bound. Value Probl. 2022, Paper No. 21, 26 p. (2022). MSC: 34A08 34G20 49J27 93B52 PDFBibTeX XMLCite \textit{A. Suechoei} and \textit{P. Sa Ngiamsunthorn}, Bound. Value Probl. 2022, Paper No. 21, 26 p. (2022; Zbl 1502.34012) 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
Alessandri, Angelo; Bagnerini, Patrizia; Gaggero, Mauro; Mantelli, Luca Parameter estimation of fire propagation models using level set methods. (English) Zbl 1481.49035 Appl. Math. Modelling 92, 731-747 (2021). MSC: 49N45 65M32 PDFBibTeX XMLCite \textit{A. Alessandri} et al., Appl. Math. Modelling 92, 731--747 (2021; Zbl 1481.49035) Full Text: DOI arXiv
Liu, J. J.; Sun, C. L.; Yamamoto, M. Recovering the weight function in distributed order fractional equation from interior measurement. (English) Zbl 1486.65154 Appl. Numer. Math. 168, 84-103 (2021). MSC: 65M32 65M06 65N06 65K10 49N45 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{J. J. Liu} et al., Appl. Numer. Math. 168, 84--103 (2021; Zbl 1486.65154) 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
Jiang, Yirong; Zhang, Qiongfen; Huang, Nanjing Fractional stochastic evolution hemivariational inequalities and optimal controls. (English) Zbl 1447.49016 Topol. Methods Nonlinear Anal. 55, No. 2, 493-515 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49J40 49J55 35R11 60H15 49J20 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Topol. Methods Nonlinear Anal. 55, No. 2, 493--515 (2020; Zbl 1447.49016) Full Text: DOI Euclid
Jiang, Yirong; Huang, Nanjing; Wei, Zhouchao Existence of a global attractor for fractional differential hemivariational inequalities. (English) Zbl 1436.49011 Discrete Contin. Dyn. Syst., Ser. B 25, No. 4, 1193-1212 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49J40 35R11 35R70 49J53 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 4, 1193--1212 (2020; Zbl 1436.49011) Full Text: DOI
Dohr, Stefan; Kahle, Christian; Rogovs, Sergejs; Swierczynski, Piotr A FEM for an optimal control problem subject to the fractional Laplace equation. (English) Zbl 1427.65357 Calcolo 56, No. 4, Paper No. 37, 21 p. (2019). MSC: 65N30 35J15 49K20 35R11 65N15 65D30 49M25 PDFBibTeX XMLCite \textit{S. Dohr} et al., Calcolo 56, No. 4, Paper No. 37, 21 p. (2019; Zbl 1427.65357) Full Text: DOI arXiv
Keyantuo, Valentin; Lizama, Carlos; Warma, Mahamadi Lattice dynamical systems associated with a fractional Laplacian. (English) Zbl 1417.49031 Numer. Funct. Anal. Optim. 40, No. 11, 1315-1343 (2019). MSC: 49K40 34K31 47D07 26A33 PDFBibTeX XMLCite \textit{V. Keyantuo} et al., Numer. Funct. Anal. Optim. 40, No. 11, 1315--1343 (2019; Zbl 1417.49031) Full Text: DOI
Zheng, Guang-Hui Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method. (English) Zbl 1404.65147 Appl. Numer. Math. 135, 99-128 (2019). MSC: 65M32 35R11 35R60 65T50 49N60 65N20 42A38 PDFBibTeX XMLCite \textit{G.-H. Zheng}, Appl. Numer. Math. 135, 99--128 (2019; Zbl 1404.65147) 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
Górska, Katarzyna; Horzela, Andrzej; Penson, Karol A.; Dattoli, Giuseppe; Duchamp, Gerard H. E. The stretched exponential behavior and its underlying dynamics. The phenomenological approach. (English) Zbl 1360.35311 Fract. Calc. Appl. Anal. 20, No. 1, 260-283 (2017). MSC: 35R11 60G18 60G52 49M20 PDFBibTeX XMLCite \textit{K. Górska} et al., Fract. Calc. Appl. Anal. 20, No. 1, 260--283 (2017; Zbl 1360.35311) Full Text: DOI arXiv
Kamocki, Rafał Necessary and sufficient optimality conditions for fractional nonhomogeneous Roesser model. (English) Zbl 1346.49028 Optim. Control Appl. Methods 37, No. 4, 574-589 (2016). MSC: 49K15 34A08 PDFBibTeX XMLCite \textit{R. Kamocki}, Optim. Control Appl. Methods 37, No. 4, 574--589 (2016; Zbl 1346.49028) Full Text: DOI
Zeng, Caibin; Chen, Yangquan Optimal random search, fractional dynamics and fractional calculus. (English) Zbl 1305.26021 Fract. Calc. Appl. Anal. 17, No. 2, 321-332 (2014). MSC: 26A33 34A08 49K45 PDFBibTeX XMLCite \textit{C. Zeng} and \textit{Y. Chen}, Fract. Calc. Appl. Anal. 17, No. 2, 321--332 (2014; Zbl 1305.26021) Full Text: DOI arXiv
Jarad, Fahd; Abdeljawad (Maraaba), Thabet; Baleanu, Dumitru Higher order fractional variational optimal control problems with delayed arguments. (English) Zbl 1244.49028 Appl. Math. Comput. 218, No. 18, 9234-9240 (2012). MSC: 49J99 26A33 PDFBibTeX XMLCite \textit{F. Jarad} et al., Appl. Math. Comput. 218, No. 18, 9234--9240 (2012; Zbl 1244.49028) Full Text: DOI arXiv
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru On Riesz-Caputo formulation for sequential fractional variational principles. (English) Zbl 1242.49047 Abstr. Appl. Anal. 2012, Article ID 890396, 15 p. (2012). MSC: 49K15 34A08 PDFBibTeX XMLCite \textit{F. Jarad} et al., Abstr. Appl. Anal. 2012, Article ID 890396, 15 p. (2012; Zbl 1242.49047) Full Text: DOI
Mophou, Gisèle. M.; N’Guérékata, Gaston M. On a class of fractional differential equations in a Sobolev space. (English) Zbl 1237.49007 Appl. Anal. 91, No. 1-2, 15-34 (2012). MSC: 49J20 49K20 35Q93 49J27 26A33 PDFBibTeX XMLCite \textit{Gisèle. M. Mophou} and \textit{G. M. N'Guérékata}, Appl. Anal. 91, No. 1--2, 15--34 (2012; Zbl 1237.49007) Full Text: DOI
Dorville, René; Mophou, Gisèle M.; Valmorin, Vincent S. Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation. (English) Zbl 1228.35263 Comput. Math. Appl. 62, No. 3, 1472-1481 (2011). MSC: 35R11 49J20 PDFBibTeX XMLCite \textit{R. Dorville} et al., Comput. Math. Appl. 62, No. 3, 1472--1481 (2011; Zbl 1228.35263) Full Text: DOI
Mophou, Gisèle M.; N’guérékata, Gaston M. Optimal control of a fractional diffusion equation with state constraints. (English) Zbl 1228.49003 Comput. Math. Appl. 62, No. 3, 1413-1426 (2011). MSC: 49J15 35R11 PDFBibTeX XMLCite \textit{G. M. Mophou} and \textit{G. M. N'guérékata}, Comput. Math. Appl. 62, No. 3, 1413--1426 (2011; Zbl 1228.49003) Full Text: DOI
Mophou, Gisèle. M. Optimal control of fractional diffusion equation. (English) Zbl 1207.49006 Comput. Math. Appl. 61, No. 1, 68-78 (2011). MSC: 49J20 45K05 49K20 PDFBibTeX XMLCite \textit{Gisèle. M. Mophou}, Comput. Math. Appl. 61, No. 1, 68--78 (2011; Zbl 1207.49006) Full Text: DOI
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru Fractional variational optimal control problems with delayed arguments. (English) Zbl 1209.49030 Nonlinear Dyn. 62, No. 3, 609-614 (2010). MSC: 49K21 PDFBibTeX XMLCite \textit{F. Jarad} et al., Nonlinear Dyn. 62, No. 3, 609--614 (2010; Zbl 1209.49030) Full Text: DOI
Muslih, Sami I.; Agrawal, Om P.; Baleanu, Dumitru A fractional Schrödinger equation and its solution. (English) Zbl 1197.81126 Int. J. Theor. Phys. 49, No. 8, 1746-1752 (2010). MSC: 81Q05 26A33 35R11 70H03 49S05 PDFBibTeX XMLCite \textit{S. I. Muslih} et al., Int. J. Theor. Phys. 49, No. 8, 1746--1752 (2010; Zbl 1197.81126) Full Text: DOI
Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru Fractional variational principles with delay within Caputo derivatives. (English) Zbl 1195.49030 Rep. Math. Phys. 65, No. 1, 17-28 (2010). MSC: 49K21 26A33 PDFBibTeX XMLCite \textit{F. Jarad} et al., Rep. Math. Phys. 65, No. 1, 17--28 (2010; Zbl 1195.49030) Full Text: DOI
Atanacković, Teodor M.; Konjik, Sanja; Pilipović, Stevan; Simić, Srboljub Variational problems with fractional derivatives: invariance conditions and Nöther’s theorem. (English) Zbl 1163.49022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 1504-1517 (2009). MSC: 49K15 26A33 PDFBibTeX XMLCite \textit{T. M. Atanacković} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 1504--1517 (2009; Zbl 1163.49022) Full Text: DOI arXiv
Huang, F.; Liu, Fawang The space-time fractional diffusion equation with Caputo derivatives. (English) Zbl 1085.35003 J. Appl. Math. Comput. 19, No. 1-2, 179-190 (2005). MSC: 35A08 26A33 49K20 44A10 35S10 PDFBibTeX XMLCite \textit{F. Huang} and \textit{F. Liu}, J. Appl. Math. Comput. 19, No. 1--2, 179--190 (2005; Zbl 1085.35003) Full Text: DOI
Huang, F.; Liu, Fawang The fundamental solution of the space-time fractional advection-dispersion equation. (English) Zbl 1086.35003 J. Appl. Math. Comput. 18, No. 1-2, 339-350 (2005). MSC: 35A08 35K57 26A33 49K20 44A10 PDFBibTeX XMLCite \textit{F. Huang} and \textit{F. Liu}, J. Appl. Math. Comput. 18, No. 1--2, 339--350 (2005; Zbl 1086.35003) Full Text: DOI