Chávez-Vázquez, Samuel; Lavín-Delgado, Jorge E.; Gómez-Aguilar, José F.; Razo-Hernández, José R.; Etemad, Sina; Rezapour, Shahram Trajectory tracking of Stanford robot manipulator by fractional-order sliding mode control. (English) Zbl 1525.70017 Appl. Math. Modelling 120, 436-462 (2023). MSC: 70E60 93B35 PDFBibTeX XMLCite \textit{S. Chávez-Vázquez} et al., Appl. Math. Modelling 120, 436--462 (2023; Zbl 1525.70017) Full Text: DOI
Lavín-Delgado, J. E.; Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F. Trajectory tracking control based on non-singular fractional derivatives for the PUMA 560 robot arm. (English) Zbl 1457.70021 Multibody Syst. Dyn. 50, No. 3, 259-303 (2020). MSC: 70E60 PDFBibTeX XMLCite \textit{J. E. Lavín-Delgado} et al., Multibody Syst. Dyn. 50, No. 3, 259--303 (2020; Zbl 1457.70021) Full Text: DOI
Zhou, Ying; Zhang, Yi Noether symmetries for fractional generalized Birkhoffian systems in terms of classical and combined Caputo derivatives. (English) Zbl 1440.70011 Acta Mech. 231, No. 7, 3017-3029 (2020). MSC: 70H33 26A33 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{Y. Zhang}, Acta Mech. 231, No. 7, 3017--3029 (2020; Zbl 1440.70011) Full Text: DOI
Su, Xin; Yu, Keshu; Yu, Miao Research on early warning algorithm for economic management based on Lagrangian fractional calculus. (English) Zbl 1483.91060 Chaos Solitons Fractals 128, 44-50 (2019). MSC: 91B05 26A33 65K10 70H03 PDFBibTeX XMLCite \textit{X. Su} et al., Chaos Solitons Fractals 128, 44--50 (2019; Zbl 1483.91060) Full Text: DOI
Long, Zi-Xuan; Zhang, Yi Fractional Noether theorem based on extended exponentially fractional integral. (English) Zbl 1302.70055 Int. J. Theor. Phys. 53, No. 3, 841-855 (2014). MSC: 70H33 26A33 PDFBibTeX XMLCite \textit{Z.-X. Long} and \textit{Y. Zhang}, Int. J. Theor. Phys. 53, No. 3, 841--855 (2014; Zbl 1302.70055) Full Text: DOI
Long, Zi-Xuan; Zhang, Yi Noether’s theorem for fractional variational problem from El-Nabulsi extended exponentially fractional integral in phase space. (English) Zbl 1356.70023 Acta Mech. 225, No. 1, 77-90 (2014). MSC: 70H33 26A33 PDFBibTeX XMLCite \textit{Z.-X. Long} and \textit{Y. Zhang}, Acta Mech. 225, No. 1, 77--90 (2014; Zbl 1356.70023) Full Text: DOI
Almeida, Ricardo; Malinowska, Agnieszka B.; Torres, Delfim F. M. A fractional calculus of variations for multiple integrals with application to vibrating string. (English) Zbl 1309.49003 J. Math. Phys. 51, No. 3, 033503, 12 p. (2010). MSC: 49J10 49K10 26A33 26B20 49S05 70H03 70S05 74K05 PDFBibTeX XMLCite \textit{R. Almeida} et al., J. Math. Phys. 51, No. 3, 033503, 12 p. (2010; Zbl 1309.49003) Full Text: DOI arXiv Link
Klimek, Małgorzata Existence-uniqueness result for a certain equation of motion in fractional mechanics. (English) Zbl 1305.34016 Bull. Pol. Acad. Sci., Tech. Sci. 58, No. 4, 573-581 (2010). MSC: 34A08 70H03 74R99 PDFBibTeX XMLCite \textit{M. Klimek}, Bull. Pol. Acad. Sci., Tech. Sci. 58, No. 4, 573--581 (2010; Zbl 1305.34016) Full Text: DOI Link
Huang, Z. L.; Jin, X. L.; Lim, C. W.; Wang, Y. Statistical analysis for stochastic systems including fractional derivatives. (English) Zbl 1183.70062 Nonlinear Dyn. 59, No. 1-2, 339-349 (2010). MSC: 70L05 26A33 PDFBibTeX XMLCite \textit{Z. L. Huang} et al., Nonlinear Dyn. 59, No. 1--2, 339--349 (2010; Zbl 1183.70062) Full Text: DOI
Jumarie, Guy From Lagrangian mechanics fractal in space to space fractal Schrödinger’s equation via fractional Taylor’s series. (English) Zbl 1198.70019 Chaos Solitons Fractals 41, No. 4, 1590-1604 (2009). MSC: 70S05 81Q65 26A33 PDFBibTeX XMLCite \textit{G. Jumarie}, Chaos Solitons Fractals 41, No. 4, 1590--1604 (2009; Zbl 1198.70019) Full Text: DOI
Baleanu, Dumitru; Trujillo, Juan J. On exact solutions of a class of fractional Euler-Lagrange equations. (English) Zbl 1170.70328 Nonlinear Dyn. 52, No. 4, 331-335 (2008). MSC: 70H30 26A33 PDFBibTeX XMLCite \textit{D. Baleanu} and \textit{J. J. Trujillo}, Nonlinear Dyn. 52, No. 4, 331--335 (2008; Zbl 1170.70328) Full Text: DOI arXiv
Ge, Zheng-Ming; Ou, Chan-Yi Chaos in a fractional order modified Duffing system. (English) Zbl 1132.37324 Chaos Solitons Fractals 34, No. 2, 262-291 (2007). MSC: 37N05 70K55 26A33 37G99 37D45 PDFBibTeX XMLCite \textit{Z.-M. Ge} and \textit{C.-Y. Ou}, Chaos Solitons Fractals 34, No. 2, 262--291 (2007; Zbl 1132.37324) Full Text: DOI
Jumarie, Guy Lagrangian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor’s series of nondifferentiable functions. (English) Zbl 1154.70011 Chaos Solitons Fractals 32, No. 3, 969-987 (2007). MSC: 70Q05 70H03 70H20 26A33 PDFBibTeX XMLCite \textit{G. Jumarie}, Chaos Solitons Fractals 32, No. 3, 969--987 (2007; Zbl 1154.70011) Full Text: DOI
Sun, Jian-Qiao Stochastic dynamic and control. (English) Zbl 1118.74003 Monograph Series on Nonlinear Science and Complexity 4. Amsterdam: Elsevier (ISBN 0-444-52230-1/hbk). 426 p. (2006). MSC: 74-02 74H50 74M05 70Q05 70L05 93B52 93E20 PDFBibTeX XMLCite \textit{J.-Q. Sun}, Stochastic dynamic and control. Amsterdam: Elsevier (2006; Zbl 1118.74003) Full Text: Link
Jumarie, G. Structural sliding equations for the tracking control of mechanical systems with active structure. (English) Zbl 0849.93013 Math. Comput. Modelling 23, No. 3, 103-128 (1996). Reviewer: T.Zolezzi (Genova) MSC: 93B12 70Q05 PDFBibTeX XMLCite \textit{G. Jumarie}, Math. Comput. Modelling 23, No. 3, 103--128 (1996; Zbl 0849.93013) Full Text: DOI
Jumarie, G. New approach to control and filtering of mechanical systems by using the estimates of their Lagrangians. (English) Zbl 0697.93031 J. Optimization Theory Appl. 68, No. 2, 289-304 (1991). Reviewer: G.Jumarie MSC: 93C10 93E11 70Q05 93C40 93E10 PDFBibTeX XMLCite \textit{G. Jumarie}, J. Optim. Theory Appl. 68, No. 2, 289--304 (1991; Zbl 0697.93031) Full Text: DOI