Belinskiy, Boris P.; Smith, Tanner A. Optimal mass of structure with motion described by Sturm-Liouville operator: design and predesign. (English) Zbl 07823661 Electron. J. Differ. Equ. 2024, Paper No. 8, 19 p. (2024). MSC: 34L15 74P05 49K15 49S05 49R05 PDFBibTeX XMLCite \textit{B. P. Belinskiy} and \textit{T. A. Smith}, Electron. J. Differ. Equ. 2024, Paper No. 8, 19 p. (2024; Zbl 07823661) Full Text: Link
Kolesnikova, I. A. On the construction of a variational principle for a certain class of differential-difference operator equations. (English. Russian original) Zbl 07798854 J. Math. Sci., New York 278, No. 1, 108-114 (2024); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 2, 316-323 (2021). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49J21 49J50 49K15 34K35 34K30 PDFBibTeX XMLCite \textit{I. A. Kolesnikova}, J. Math. Sci., New York 278, No. 1, 108--114 (2024; Zbl 07798854); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 2, 316--323 (2021) Full Text: DOI
Golmankhaneh, Alireza Khalili Variational problems with generalized fractal derivative operator. (English) Zbl 07711638 Appl. Anal. Optim. 7, No. 1, 27-32 (2023). MSC: 47J30 28A80 37K58 34H05 PDFBibTeX XMLCite \textit{A. K. Golmankhaneh}, Appl. Anal. Optim. 7, No. 1, 27--32 (2023; Zbl 07711638) Full Text: Link
Martins, Natália A non-standard class of variational problems of Herglotz type. (English) Zbl 1485.49026 Discrete Contin. Dyn. Syst., Ser. S 15, No. 3, 573-586 (2022). MSC: 49K15 49K05 34H05 93C23 PDFBibTeX XMLCite \textit{N. Martins}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 3, 573--586 (2022; Zbl 1485.49026) Full Text: DOI
Abd, Ghazwa F.; Zaboon, Radhi A. Parametrization approach for solving index-4 linear differential-algebraic control systems. (English) Zbl 1499.34331 Int. J. Math. Comput. Sci. 17, No. 2, 815-825 (2022). MSC: 34H05 34A09 65L80 93C05 PDFBibTeX XMLCite \textit{G. F. Abd} and \textit{R. A. Zaboon}, Int. J. Math. Comput. Sci. 17, No. 2, 815--825 (2022; Zbl 1499.34331) Full Text: Link
Pandey, Prashant K.; Pandey, Rajesh K.; Yadav, Swati; Agrawal, Om P. Variational approach for tempered fractional Sturm-Liouville problem. (English) Zbl 1491.34019 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 51, 17 p. (2021). MSC: 34A08 34B24 34L15 34L10 PDFBibTeX XMLCite \textit{P. K. Pandey} et al., Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 51, 17 p. (2021; Zbl 1491.34019) Full Text: DOI
Ziane, Djelloul; Hamdi, Cherif Mountassir; Belghaba, Kacem; Belgacem, Fethi Bin Muhammad An accurate method for nonlinear local fractional wave-like equations with variable coefficients. (English) Zbl 1499.44005 Comput. Methods Differ. Equ. 9, No. 3, 774-787 (2021). MSC: 44A05 26A33 44A20 34K37 PDFBibTeX XMLCite \textit{D. Ziane} et al., Comput. Methods Differ. Equ. 9, No. 3, 774--787 (2021; Zbl 1499.44005) Full Text: DOI
Sun, Qing Irrigable measures for weighted irrigation plans. (English) Zbl 1481.49048 Netw. Heterog. Media 16, No. 3, 493-511 (2021). MSC: 49Q20 34A05 34A36 92B05 PDFBibTeX XMLCite \textit{Q. Sun}, Netw. Heterog. Media 16, No. 3, 493--511 (2021; Zbl 1481.49048) Full Text: DOI arXiv
Rayal, Ashish; Verma, Sag Ram An approximate wavelets solution to the class of variational problems with fractional order. (English) Zbl 1475.34008 J. Appl. Math. Comput. 65, No. 1-2, 735-769 (2021). MSC: 34A08 49K05 65M70 65T60 PDFBibTeX XMLCite \textit{A. Rayal} and \textit{S. R. Verma}, J. Appl. Math. Comput. 65, No. 1--2, 735--769 (2021; Zbl 1475.34008) Full Text: DOI
Frederico, Gastão S. F.; da C. Sousa, J. Vanterler; Babakhani, Azizollah Existence and uniqueness of global solution for a Cauchy problem and \(g\)-variational calculus. (English) Zbl 1476.34043 Comput. Appl. Math. 40, No. 6, Paper No. 233, 23 p. (2021). MSC: 34A12 34A40 47Gxx 49S05 70H03 PDFBibTeX XMLCite \textit{G. S. F. Frederico} et al., Comput. Appl. Math. 40, No. 6, Paper No. 233, 23 p. (2021; Zbl 1476.34043) Full Text: DOI
Hai, Pham Viet; Rosenfeld, Joel A. The gradient descent method from the perspective of fractional calculus. (English) Zbl 1490.65121 Math. Methods Appl. Sci. 44, No. 7, 5520-5547 (2021). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 65K10 90C25 26A33 34A08 PDFBibTeX XMLCite \textit{P. V. Hai} and \textit{J. A. Rosenfeld}, Math. Methods Appl. Sci. 44, No. 7, 5520--5547 (2021; Zbl 1490.65121) Full Text: DOI arXiv
Bourdin, Loïc; Ferreira, Rui A. C. Legendre’s necessary condition for fractional Bolza functionals with mixed initial/final constraints. (English) Zbl 1471.49017 J. Optim. Theory Appl. 190, No. 2, 672-708 (2021). MSC: 49K05 26A33 34A08 PDFBibTeX XMLCite \textit{L. Bourdin} and \textit{R. A. C. Ferreira}, J. Optim. Theory Appl. 190, No. 2, 672--708 (2021; Zbl 1471.49017) Full Text: DOI arXiv
Ferreira, Milton; Rodrigues, M. Manuela; Vieira, Nelson A fractional analysis in higher dimensions for the Sturm-Liouville problem. (English) Zbl 1498.34083 Fract. Calc. Appl. Anal. 24, No. 2, 585-620 (2021). MSC: 34B24 26A33 34A08 34L10 34L15 PDFBibTeX XMLCite \textit{M. Ferreira} et al., Fract. Calc. Appl. Anal. 24, No. 2, 585--620 (2021; Zbl 1498.34083) Full Text: DOI
Zhang, Peng; Mang, Andreas; He, Jiwen; Azencott, Robert; El-Tallawi, K. Carlos; Zoghbi, William A. Diffeomorphic shape matching by operator splitting in 3D cardiology imaging. (English) Zbl 1471.65061 J. Optim. Theory Appl. 188, No. 1, 143-168 (2021). MSC: 65K10 65D18 49M29 34H05 92C55 PDFBibTeX XMLCite \textit{P. Zhang} et al., J. Optim. Theory Appl. 188, No. 1, 143--168 (2021; Zbl 1471.65061) Full Text: DOI arXiv
Jennane, Mohsine; Kalmoun, El Mostafa Approximate efficient solutions of nonsmooth vector optimization problems via approximate vector variational inequalities. (English) Zbl 07326309 Hammouch, Zakia (ed.) et al., Nonlinear analysis: problems, applications and computational methods. Proceedings of the 6th international congress of the Moroccan Society of Applied Mathematics, Beni-Mellal, Morocco, November 7–9, 2019. Cham: Springer. Lect. Notes Netw. Syst. 168, 91-101 (2021). MSC: 47J20 49-XX 90-XX 34-XX PDFBibTeX XMLCite \textit{M. Jennane} and \textit{E. M. Kalmoun}, Lect. Notes Netw. Syst. 168, 91--101 (2021; Zbl 07326309) Full Text: DOI
van Gennip, Yves An MBO scheme for minimizing the graph Ohta-Kawasaki functional. (English) Zbl 1462.05345 J. Nonlinear Sci. 30, No. 5, 2325-2373 (2020). MSC: 05C99 49J45 34A33 34B45 35A15 35B36 49N99 PDFBibTeX XMLCite \textit{Y. van Gennip}, J. Nonlinear Sci. 30, No. 5, 2325--2373 (2020; Zbl 1462.05345) Full Text: DOI arXiv
Varin, V. P. Computation of periodic solutions to pendulum type systems with a small parameter. (English. Russian original) Zbl 1459.34107 Comput. Math. Math. Phys. 60, No. 12, 1990-2006 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 12, 2055-2072 (2020). MSC: 34C25 34A45 34A25 34E10 37C60 34C15 68W30 PDFBibTeX XMLCite \textit{V. P. Varin}, Comput. Math. Math. Phys. 60, No. 12, 1990--2006 (2020; Zbl 1459.34107); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 12, 2055--2072 (2020) Full Text: DOI
Fu, Taibai; Zheng, Zhoushun; Duan, Beiping Variational formulation for fractional inhomogeneous boundary value problems. (English) Zbl 1459.65219 BIT 60, No. 4, 1203-1219 (2020). Reviewer: Dana Černá (Liberec) MSC: 65N30 26A33 34A08 65L60 65L20 65L70 35A15 35A01 35A02 35B35 PDFBibTeX XMLCite \textit{T. Fu} et al., BIT 60, No. 4, 1203--1219 (2020; Zbl 1459.65219) Full Text: DOI
Pandey, Prashant K.; Pandey, Rajesh K.; Agrawal, Om P. Variational approximation for fractional Sturm-Liouville problem. (English) Zbl 1488.34205 Fract. Calc. Appl. Anal. 23, No. 3, 861-874 (2020). MSC: 34B24 34A08 26A33 34L10 34L15 47J30 PDFBibTeX XMLCite \textit{P. K. Pandey} et al., Fract. Calc. Appl. Anal. 23, No. 3, 861--874 (2020; Zbl 1488.34205) Full Text: DOI
Bergounioux, Maïtine; Bourdin, Loïc Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints. (English) Zbl 1447.49035 ESAIM, Control Optim. Calc. Var. 26, Paper No. 35, 38 p. (2020). MSC: 49K15 26A33 34A08 49J15 49K40 93C15 PDFBibTeX XMLCite \textit{M. Bergounioux} and \textit{L. Bourdin}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 35, 38 p. (2020; Zbl 1447.49035) Full Text: DOI
Soradi-Zeid, Samaneh; Jahanshahi, Hadi; Yousefpour, Amin; Bekiros, Stelios King algorithm: a novel optimization approach based on variable-order fractional calculus with application in chaotic financial systems. (English) Zbl 1434.65084 Chaos Solitons Fractals 132, Article ID 109569, 9 p. (2020). MSC: 65K10 65L03 49M25 34A08 45D05 91G80 PDFBibTeX XMLCite \textit{S. Soradi-Zeid} et al., Chaos Solitons Fractals 132, Article ID 109569, 9 p. (2020; Zbl 1434.65084) Full Text: DOI
Obukhovskii, Valeri; Gel’man, Boris Multivalued maps and differential inclusions. Elements of theory and applications. (English) Zbl 1454.49001 Hackensack, NJ: World Scientific (ISBN 978-981-12-2021-0/hbk; 978-981-12-2023-4/ebook). xii, 208 p. (2020). Reviewer: Mihail Voicu (Iaşi) MSC: 49-01 34-01 34A60 49J52 91-01 91A80 49S05 58C30 47H10 93C15 37N35 37N40 91A05 91A11 91B50 PDFBibTeX XMLCite \textit{V. Obukhovskii} and \textit{B. Gel'man}, Multivalued maps and differential inclusions. Elements of theory and applications. Hackensack, NJ: World Scientific (2020; Zbl 1454.49001) Full Text: DOI
Heydari, M. H. Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative. (English) Zbl 1433.49045 Appl. Numer. Math. 150, 507-518 (2020). Reviewer: Kai Diethelm (Schweinfurt) MSC: 49M25 65K10 26A33 34A25 34A08 PDFBibTeX XMLCite \textit{M. H. Heydari}, Appl. Numer. Math. 150, 507--518 (2020; Zbl 1433.49045) Full Text: DOI
Lemos, Nivaldo A. On the least uncomfortable journey from \(A\) to \(B\). (English) Zbl 07670060 Eur. J. Phys. 40, No. 5, Article ID 055802, 10 p. (2019); addendum ibid. 41, No. 3, Article ID 039401, 4 p. (2020). MSC: 34-XX 65-XX PDFBibTeX XMLCite \textit{N. A. Lemos}, Eur. J. Phys. 40, No. 5, Article ID 055802, 10 p. (2019; Zbl 07670060) Full Text: DOI arXiv
Abdeljawad, Thabet; Atangana, Abdon; Gómez-Aguilar, J. F.; Jarad, Fahd On a more general fractional integration by parts formulae and applications. (English) Zbl 1527.26004 Physica A 536, Article ID 122494, 17 p. (2019). MSC: 26A33 34A08 58E30 65D30 PDFBibTeX XMLCite \textit{T. Abdeljawad} et al., Physica A 536, Article ID 122494, 17 p. (2019; Zbl 1527.26004) Full Text: DOI
Abdeljawad, Thabet; Mert, Raziye; Torres, Delfim F. M. Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations. (English) Zbl 1442.26007 Gómez, José Francisco (ed.) et al., Fractional derivatives with Mittag-Leffler kernel. Trends and applications in science and engineering. Cham: Springer. Stud. Syst. Decis. Control 194, 35-47 (2019). MSC: 26A33 34A08 39A70 PDFBibTeX XMLCite \textit{T. Abdeljawad} et al., Stud. Syst. Decis. Control 194, 35--47 (2019; Zbl 1442.26007) Full Text: DOI arXiv
Zhang, Jingjing; Shen, Yue; He, Jihuan Some analytical methods for singular boundary value problem in a fractal space: a review. (English) Zbl 1440.34025 Appl. Comput. Math. 18, No. 3, 225-235 (2019). MSC: 34B16 34B15 34L30 34-02 34E15 34A25 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Comput. Math. 18, No. 3, 225--235 (2019; Zbl 1440.34025) Full Text: Link
Su, Xifeng; de la Llave, Rafael On a remarkable example of F. Almgren and H. Federer in the global theory of minimizing geodesics. (English) Zbl 1433.37061 Discrete Contin. Dyn. Syst. 39, No. 12, 7057-7080 (2019). Reviewer: Benjamin McKay (Cork) MSC: 37J39 37J51 49Q15 34C25 53C22 PDFBibTeX XMLCite \textit{X. Su} and \textit{R. de la Llave}, Discrete Contin. Dyn. Syst. 39, No. 12, 7057--7080 (2019; Zbl 1433.37061) Full Text: DOI arXiv
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
Gubes, Murat A new calculation technique for the Laplace and Sumudu transforms by means of the variational iteration method. (English) Zbl 1452.44002 Math. Sci., Springer 13, No. 1, 21-25 (2019). MSC: 44A10 44A15 34A25 PDFBibTeX XMLCite \textit{M. Gubes}, Math. Sci., Springer 13, No. 1, 21--25 (2019; Zbl 1452.44002) Full Text: DOI
Beldzinski, Michal; Galewski, Marek On the existence and uniqueness of Dirichlet problems on a positive half-line. (English) Zbl 1442.34058 Minimax Theory Appl. 4, No. 1, 55-69 (2019). MSC: 34B40 47N20 58E50 PDFBibTeX XMLCite \textit{M. Beldzinski} and \textit{M. Galewski}, Minimax Theory Appl. 4, No. 1, 55--69 (2019; Zbl 1442.34058) Full Text: Link
Montecchiari, Piero; Rabinowitz, Paul H. On global non-degeneracy conditions for chaotic behavior for a class of dynamical systems. (English) Zbl 1421.35089 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 3, 627-653 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35J50 35J47 35J57 34C37 PDFBibTeX XMLCite \textit{P. Montecchiari} and \textit{P. H. Rabinowitz}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 3, 627--653 (2019; Zbl 1421.35089) Full Text: DOI
Martynyuk, Anatoly A. Qualitative analysis of set-valued differential equations. (English) Zbl 1428.49002 Cham: Birkhäuser (ISBN 978-3-030-07643-6/hbk; 978-3-030-07644-3/ebook). xiii, 198 p. (2019). Reviewer: Ba Khiet Le (Rancagua) MSC: 49-02 49J53 93C15 34H05 49N25 PDFBibTeX XMLCite \textit{A. A. Martynyuk}, Qualitative analysis of set-valued differential equations. Cham: Birkhäuser (2019; Zbl 1428.49002) Full Text: DOI
Sayevand, K.; Tenreiro Machado, J.; Baleanu, D. A new glance on the Leibniz rule for fractional derivatives. (English) Zbl 1470.34027 Commun. Nonlinear Sci. Numer. Simul. 62, 244-249 (2018). MSC: 34A08 49S05 PDFBibTeX XMLCite \textit{K. Sayevand} et al., Commun. Nonlinear Sci. Numer. Simul. 62, 244--249 (2018; Zbl 1470.34027) Full Text: DOI
Georgiev, Svetlin G. Variational calculus on time scales. (English) Zbl 1411.49001 Mathematics Research Developments. New York, NY: Nova Science Publishers (ISBN 978-1-5361-4323-2/hbk; 978-1-5361-4376-8/ebook). x, 297 p. (2018). MSC: 49-02 49J40 26E70 34N05 PDFBibTeX XMLCite \textit{S. G. Georgiev}, Variational calculus on time scales. New York, NY: Nova Science Publishers (2018; Zbl 1411.49001)
Heydari, Mohammad Hossein A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems. (English) Zbl 1395.49025 J. Franklin Inst. 355, No. 12, 4970-4995 (2018). MSC: 49M30 34A08 65K10 65M70 PDFBibTeX XMLCite \textit{M. H. Heydari}, J. Franklin Inst. 355, No. 12, 4970--4995 (2018; Zbl 1395.49025) Full Text: DOI
Matychyn, Ivan; Onyshchenko, Viktoriia Optimal control of linear systems with fractional derivatives. (English) Zbl 1396.49033 Fract. Calc. Appl. Anal. 21, No. 1, 134-150 (2018). MSC: 49N05 49K15 26A33 34A08 49J53 49J30 PDFBibTeX XMLCite \textit{I. Matychyn} and \textit{V. Onyshchenko}, Fract. Calc. Appl. Anal. 21, No. 1, 134--150 (2018; Zbl 1396.49033) Full Text: DOI
Kassay, Gábor; Rădulescu, Vicenţiu D. Equilibrium problems and applications. (English) Zbl 1448.47005 Mathematics in Science and Engineering. Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-811029-4/pbk; 978-0-12-811030-0/ebook). xx, 419 p. (2018). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 47-02 91-02 49-02 47J20 34C25 46N10 47H04 47H10 47J22 49J35 49J40 49J52 49J53 49K35 49K40 49M99 58E30 58E35 90C31 90C33 90C47 91A10 91A40 91B50 91B52 PDFBibTeX XMLCite \textit{G. Kassay} and \textit{V. D. Rădulescu}, Equilibrium problems and applications. Amsterdam: Elsevier/Academic Press (2018; Zbl 1448.47005)
Belinskiy, Boris P.; Kotval, David H. Optimal design of minimum mass structures for a generalized Sturm-Liouville problem on an interval and a metric graph. (English) Zbl 1457.49027 Electron. J. Differ. Equ. 2018, Paper No. 119, 18 p. (2018). MSC: 49N99 49S05 34L15 74P05 34B24 05C90 PDFBibTeX XMLCite \textit{B. P. Belinskiy} and \textit{D. H. Kotval}, Electron. J. Differ. Equ. 2018, Paper No. 119, 18 p. (2018; Zbl 1457.49027) Full Text: Link
Nyamoradi, Nemat; Zhou, Yong; Ahmad, Bashir; Alsaedi, Ahmed Variational methods for Kirchhoff type problems with tempered fractional derivative. (English) Zbl 1432.34013 Electron. J. Differ. Equ. 2018, Paper No. 34, 13 p. (2018). MSC: 34A08 26A33 PDFBibTeX XMLCite \textit{N. Nyamoradi} et al., Electron. J. Differ. Equ. 2018, Paper No. 34, 13 p. (2018; Zbl 1432.34013) Full Text: Link
Tavares, Dina; Almeida, Ricardo; Torres, Delfim F. M. Fractional Herglotz variational problems of variable order. (English) Zbl 1379.49016 Discrete Contin. Dyn. Syst., Ser. S 11, No. 1, 143-154 (2018). MSC: 49K05 26A33 34A08 49K10 PDFBibTeX XMLCite \textit{D. Tavares} et al., Discrete Contin. Dyn. Syst., Ser. S 11, No. 1, 143--154 (2018; Zbl 1379.49016) Full Text: DOI arXiv
Balcı, Mehmet Ali Time fractional capital-induced labor migration model. (English) Zbl 1495.91068 Physica A 477, 91-98 (2017). MSC: 91B62 26A33 34A08 60H30 35R11 PDFBibTeX XMLCite \textit{M. A. Balcı}, Physica A 477, 91--98 (2017; Zbl 1495.91068) Full Text: DOI
Wang, Qi; Liu, Wenjie; Wang, Mei Nontrivial periodic solutions for second-order differential delay equations. (English) Zbl 1474.34476 J. Appl. Anal. Comput. 7, No. 3, 931-941 (2017). MSC: 34K13 PDFBibTeX XMLCite \textit{Q. Wang} et al., J. Appl. Anal. Comput. 7, No. 3, 931--941 (2017; Zbl 1474.34476) Full Text: DOI
D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. (English) Zbl 1436.35307 Comput. Methods Appl. Math. 17, No. 4, 707-722 (2017). MSC: 35R09 34B10 35A15 35L65 35B40 45A05 45K05 60G51 60J60 PDFBibTeX XMLCite \textit{M. D'Elia} et al., Comput. Methods Appl. Math. 17, No. 4, 707--722 (2017; Zbl 1436.35307) Full Text: DOI Link
Attouch, Hedy; Cabot, Alexandre Asymptotic stabilization of inertial gradient dynamics with time-dependent viscosity. (English) Zbl 1405.37092 J. Differ. Equations 263, No. 9, 5412-5458 (2017). MSC: 37N40 46N10 49M30 65K05 65K10 90B50 90C25 34C10 34D10 34H15 PDFBibTeX XMLCite \textit{H. Attouch} and \textit{A. Cabot}, J. Differ. Equations 263, No. 9, 5412--5458 (2017; Zbl 1405.37092) Full Text: DOI
Sanders, Jaron; Borst, S. C.; Janssen, A. J. E. M.; van Leeuwaarden, J. S. H. Optimal admission control for many-server systems with QED-driven revenues. (English) Zbl 1390.90255 Stoch. Syst. 7, No. 2, 315-341 (2017). MSC: 90B22 60K25 93E03 65K10 34E05 PDFBibTeX XMLCite \textit{J. Sanders} et al., Stoch. Syst. 7, No. 2, 315--341 (2017; Zbl 1390.90255) Full Text: DOI arXiv Euclid
Caubet, Fabien; Deheuvels, Thibaut; Privat, Yannick Optimal location of resources for biased movement of species: the 1D case. (English) Zbl 1378.49055 SIAM J. Appl. Math. 77, No. 6, 1876-1903 (2017). MSC: 49R05 49J15 49K20 34B09 34L15 49J30 92D25 PDFBibTeX XMLCite \textit{F. Caubet} et al., SIAM J. Appl. Math. 77, No. 6, 1876--1903 (2017; Zbl 1378.49055) Full Text: DOI arXiv
Lotfi, Ali A combination of variational and penalty methods for solving a class of fractional optimal control problems. (English) Zbl 1378.49032 J. Optim. Theory Appl. 174, No. 1, 65-82 (2017). MSC: 49M30 49J40 49M25 34A08 PDFBibTeX XMLCite \textit{A. Lotfi}, J. Optim. Theory Appl. 174, No. 1, 65--82 (2017; Zbl 1378.49032) Full Text: DOI
Cherukuri, Ashish; Gharesifard, Bahman; Cortés, Jorge Saddle-point dynamics: conditions for asymptotic stability of saddle points. (English) Zbl 1364.90326 SIAM J. Control Optim. 55, No. 1, 486-511 (2017). MSC: 90C33 90C47 34A34 34D05 34D23 34D35 37L10 PDFBibTeX XMLCite \textit{A. Cherukuri} et al., SIAM J. Control Optim. 55, No. 1, 486--511 (2017; Zbl 1364.90326) Full Text: DOI arXiv
Hesameddini, Esmail; Rahimi, Azam; Asadollahifard, Elham On the convergence of a new reliable algorithm for solving multi-order fractional differential equations. (English) Zbl 1510.65178 Commun. Nonlinear Sci. Numer. Simul. 34, 154-164 (2016). MSC: 65L99 34A08 PDFBibTeX XMLCite \textit{E. Hesameddini} et al., Commun. Nonlinear Sci. Numer. Simul. 34, 154--164 (2016; Zbl 1510.65178) Full Text: DOI
Zarebnia, Mohammad; Barandak Emcheh, Hosein Numerical solution of variational problems via Haar wavelet quasilinearization technique. (English) Zbl 1438.65137 Comput. Methods Differ. Equ. 4, No. 3, 249-260 (2016). MSC: 65K10 34L99 65L03 65T60 PDFBibTeX XMLCite \textit{M. Zarebnia} and \textit{H. Barandak Emcheh}, Comput. Methods Differ. Equ. 4, No. 3, 249--260 (2016; Zbl 1438.65137) Full Text: Link
Liao, Shu; Yang, Weiming Optimal control and stability analysis of cholera model with vaccination. (Chinese. English summary) Zbl 1389.49013 J. Syst. Sci. Math. Sci. 36, No. 12, 2257-2271 (2016). MSC: 49K15 49K40 34D20 92D30 49S05 49M30 92C60 PDFBibTeX XMLCite \textit{S. Liao} and \textit{W. Yang}, J. Syst. Sci. Math. Sci. 36, No. 12, 2257--2271 (2016; Zbl 1389.49013)
Colombo, Leonardo; Ferraro, Sebastián; Martín de Diego, David Geometric integrators for higher-order variational systems and their application to optimal control. (English) Zbl 1378.70016 J. Nonlinear Sci. 26, No. 6, 1615-1650 (2016). MSC: 70G45 70H50 34B15 49M25 65P10 PDFBibTeX XMLCite \textit{L. Colombo} et al., J. Nonlinear Sci. 26, No. 6, 1615--1650 (2016; Zbl 1378.70016) Full Text: DOI arXiv Link
Li, Guodong; Liu, Ping; Liu, Xinggao A control parameterization approach with variable time nodes for optimal control problems. (English) Zbl 1350.49039 Asian J. Control 18, No. 3, 976-984 (2016). MSC: 49M30 49J15 93C15 93C10 34H05 65K10 PDFBibTeX XMLCite \textit{G. Li} et al., Asian J. Control 18, No. 3, 976--984 (2016; Zbl 1350.49039) Full Text: DOI
Han, Zhengzhi; Cai, Xiushan; Huang, Jun Theory of control systems described by differential inclusions. (English) Zbl 1362.49002 Springer Tracts in Mechanical Engineering. Shanghai: Shanghai Jiao Tong University Press; Berlin: Springer (ISBN 978-3-662-49243-7/hbk; 978-3-662-49245-1/ebook). xi, 344 p. (2016). Reviewer: Rita Pini (Milano) MSC: 49-02 34A60 49J21 93-02 93D15 46-02 49J53 26E25 PDFBibTeX XMLCite \textit{Z. Han} et al., Theory of control systems described by differential inclusions. Shanghai: Shanghai Jiao Tong University Press; Berlin: Springer (2016; Zbl 1362.49002) Full Text: DOI
Aubin, Jean-Pierre; Dordan, Olivier A survey on Galois stratifications and measures of viability risk. (English) Zbl 1355.49013 J. Convex Anal. 23, No. 1, 181-225 (2016). MSC: 49J53 49-02 93B03 34A60 49J27 37B55 28B20 45N05 PDFBibTeX XMLCite \textit{J.-P. Aubin} and \textit{O. Dordan}, J. Convex Anal. 23, No. 1, 181--225 (2016; Zbl 1355.49013) Full Text: Link
Nadin, Grégoire; Privat, Yannick An extremal eigenvalue problem arising in heat conduction. (English. French summary) Zbl 1339.49036 J. Math. Pures Appl. (9) 105, No. 6, 845-872 (2016). MSC: 49Q10 49R05 49J15 49K15 34B24 34E05 80A20 PDFBibTeX XMLCite \textit{G. Nadin} and \textit{Y. Privat}, J. Math. Pures Appl. (9) 105, No. 6, 845--872 (2016; Zbl 1339.49036) Full Text: DOI
Montecchiari, Piero; Rabinowitz, Paul H. On the existence of multi-transition solutions for a class of elliptic systems. (English) Zbl 1332.35113 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 1, 199-219 (2016). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 35J50 35J57 34C25 34C37 PDFBibTeX XMLCite \textit{P. Montecchiari} and \textit{P. H. Rabinowitz}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 1, 199--219 (2016; Zbl 1332.35113) Full Text: DOI
Graef, John R.; Kong, Lingju Multiple solutions of boundary value problems. A variational approach. (English) Zbl 1445.35001 Trends in Abstract and Applied Analysis 1. Hackensack, NJ: World Scientific (ISBN 978-981-4696-54-8/hbk; 978-981-4696-56-2/ebook). x, 279 p. (2016). Reviewer: Jijiang Sun (Nanchang) MSC: 35-01 35A15 34A37 34B24 49-01 49J45 34-01 PDFBibTeX XMLCite \textit{J. R. Graef} and \textit{L. Kong}, Multiple solutions of boundary value problems. A variational approach. Hackensack, NJ: World Scientific (2016; Zbl 1445.35001) Full Text: DOI
Mohammadi, Reza; Alavi, Ameneh Sadat Quadratic spline solution of calculus of variation problems. (English) Zbl 1355.65083 TWMS J. Appl. Eng. Math. 5, No. 2, 276-285 (2015). MSC: 65K10 49J15 65L10 65L12 34B15 PDFBibTeX XMLCite \textit{R. Mohammadi} and \textit{A. S. Alavi}, TWMS J. Appl. Eng. Math. 5, No. 2, 276--285 (2015; Zbl 1355.65083)
Colombo, Leonardo; Jiménez, Fernando; Martín de Diego, David Variational integrators for mechanical control systems with symmetries. (English) Zbl 1397.70024 J. Comput. Dyn. 2, No. 2, 193-225 (2015). MSC: 70G45 34A26 37M15 49J05 70Hxx PDFBibTeX XMLCite \textit{L. Colombo} et al., J. Comput. Dyn. 2, No. 2, 193--225 (2015; Zbl 1397.70024) Full Text: DOI arXiv
Tarasov, Vasily E. Variational principle of stationary action for fractional nonlocal media and fields. (English) Zbl 1347.49035 Pac. J. Math. Ind. 7, 57-67 (2015). MSC: 49J99 49K99 49S05 26A33 34A08 PDFBibTeX XMLCite \textit{V. E. Tarasov}, Pac. J. Math. Ind. 7, 57--67 (2015; Zbl 1347.49035) Full Text: DOI
Xiong, Xiaogang; Kikuuwe, Ryo; Yamamoto, Motoji Implicit Euler simulation of one-dimensional Burridge-Knopoff model of earthquakes with set-valued friction laws. (English) Zbl 1350.49044 Adv. Comput. Math. 41, No. 6, 1039-1057 (2015). MSC: 49M30 49J53 86A15 34A60 PDFBibTeX XMLCite \textit{X. Xiong} et al., Adv. Comput. Math. 41, No. 6, 1039--1057 (2015; Zbl 1350.49044) Full Text: DOI
Torres, Delfim; Martins, Natália; Santos, Simão P. S. Noether’s theorem for higher-order variational problems of Herglotz type. (English) Zbl 1335.49034 Discrete Contin. Dyn. Syst. 2015, Suppl., 990-999 (2015). MSC: 49K15 49K05 49S05 34H05 PDFBibTeX XMLCite \textit{D. Torres} et al., Discrete Contin. Dyn. Syst. 2015, 990--999 (2015; Zbl 1335.49034) Full Text: DOI arXiv
Santos, Simão P. S.; Martins, Natália; Torres, Delfim Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether’s first theorem. (English) Zbl 1335.49032 Discrete Contin. Dyn. Syst. 35, No. 9, 4593-4610 (2015). MSC: 49K15 49S05 34H05 PDFBibTeX XMLCite \textit{S. P. S. Santos} et al., Discrete Contin. Dyn. Syst. 35, No. 9, 4593--4610 (2015; Zbl 1335.49032) Full Text: DOI arXiv
Belinskiy, Boris P.; Hiestand, James W.; Matthews, John V. Piecewise uniform optimal design of a bar with an attached mass. (English) Zbl 1327.80004 Electron. J. Differ. Equ. 2015, Paper No. 206, 17 p. (2015). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 80A20 49R05 35K05 34B24 65H10 80M30 PDFBibTeX XMLCite \textit{B. P. Belinskiy} et al., Electron. J. Differ. Equ. 2015, Paper No. 206, 17 p. (2015; Zbl 1327.80004) Full Text: EMIS
Fusco, Giorgio; Gronchi, Giovanni F. Platonic polyhedra, periodic orbits and chaotic motions in the \(N\)-body problem with non-Newtonian forces. (English) Zbl 1305.70024 J. Dyn. Differ. Equations 26, No. 4, 817-841 (2014). MSC: 70F10 52B15 70K42 34C25 49J99 37D45 PDFBibTeX XMLCite \textit{G. Fusco} and \textit{G. F. Gronchi}, J. Dyn. Differ. Equations 26, No. 4, 817--841 (2014; Zbl 1305.70024) Full Text: DOI
Klimek, Małgorzata; Odzijewicz, Tatiana; Malinowska, Agnieszka B. Variational methods for the fractional Sturm-Liouville problem. (English) Zbl 1297.65087 J. Math. Anal. Appl. 416, No. 1, 402-426 (2014). MSC: 65L15 34L16 34A08 PDFBibTeX XMLCite \textit{M. Klimek} et al., J. Math. Anal. Appl. 416, No. 1, 402--426 (2014; Zbl 1297.65087) Full Text: DOI arXiv
Wu, Guo-Cheng; Baleanu, Dumitru Variational iteration method for fractional calculus – a universal approach by Laplace transform. (English) Zbl 1365.34022 Adv. Difference Equ. 2013, Paper No. 18, 9 p. (2013). MSC: 34A08 65K10 34A12 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{D. Baleanu}, Adv. Difference Equ. 2013, Paper No. 18, 9 p. (2013; Zbl 1365.34022) Full Text: DOI
Klimek, Małgorzata On reflection symmetry and its application to the Euler-Lagrange equations in fractional mechanics. (English) Zbl 1342.26023 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120145, 15 p. (2013). MSC: 26A33 34A08 PDFBibTeX XMLCite \textit{M. Klimek}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120145, 15 p. (2013; Zbl 1342.26023) Full Text: DOI
Klimek, Małgorzata; Lupa, Maria Reflection symmetric formulation of generalized fractional variational calculus. (English) Zbl 1312.26015 Fract. Calc. Appl. Anal. 16, No. 1, 243-261 (2013). MSC: 26A33 34A08 49S05 70H03 PDFBibTeX XMLCite \textit{M. Klimek} and \textit{M. Lupa}, Fract. Calc. Appl. Anal. 16, No. 1, 243--261 (2013; Zbl 1312.26015) Full Text: DOI
Yeun, Y. L. Heteroclinic solutions for the extended Fisher-Kolmogorov equation. (English) Zbl 1314.34097 J. Math. Anal. Appl. 407, No. 1, 119-129 (2013). MSC: 34C37 34B40 58E50 PDFBibTeX XMLCite \textit{Y. L. Yeun}, J. Math. Anal. Appl. 407, No. 1, 119--129 (2013; Zbl 1314.34097) Full Text: DOI
Miller, B. M.; Rubinovich, E. Ya. Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations. (English. Russian original) Zbl 1284.49011 Autom. Remote Control 74, No. 12, 1969-2006 (2013); translation from Avtom. Telemekh. 2013, No. 12, 56-103 (2013). MSC: 49J30 49N25 34H05 PDFBibTeX XMLCite \textit{B. M. Miller} and \textit{E. Ya. Rubinovich}, Autom. Remote Control 74, No. 12, 1969--2006 (2013; Zbl 1284.49011); translation from Avtom. Telemekh. 2013, No. 12, 56--103 (2013) Full Text: DOI
Bourdin, Loïc; Cresson, Jacky; Greff, Isabelle; Inizan, Pierre Variational integrator for fractional Euler-Lagrange equations. (English) Zbl 1284.65183 Appl. Numer. Math. 71, 14-23 (2013). MSC: 65P10 70H03 37M15 34A08 PDFBibTeX XMLCite \textit{L. Bourdin} et al., Appl. Numer. Math. 71, 14--23 (2013; Zbl 1284.65183) Full Text: DOI arXiv
Font, R.; Pedregal, P.; Periago, F. A numerical method for computing optimal controls in feedback and digital forms and its application to the blowing-venting control system of manned submarines. (English) Zbl 1275.49052 Optim. Control Appl. Methods 34, No. 2, 236-252 (2013). MSC: 49M30 49N90 34H05 PDFBibTeX XMLCite \textit{R. Font} et al., Optim. Control Appl. Methods 34, No. 2, 236--252 (2013; Zbl 1275.49052) Full Text: DOI
Hassani, Sadri Mathematical physics. A modern introduction to its foundations. 2nd revised ed. (English) Zbl 1276.00009 Cham: Springer (ISBN 978-3-319-01194-3/hbk; 978-3-319-01195-0/ebook). xxxi, 1205 p. (2013). Reviewer: Gert Roepstorff (Aachen) MSC: 00A06 46-01 34-01 47-01 35-01 PDFBibTeX XMLCite \textit{S. Hassani}, Mathematical physics. A modern introduction to its foundations. 2nd revised ed. Cham: Springer (2013; Zbl 1276.00009) Full Text: DOI
Zhang, Rui-feng; Li, Na Existence of energy-minimizing solutions of nonlinear differential equations arising in MEMS. (Chinese. English summary) Zbl 1264.34098 J. Henan Univ., Nat. Sci. 42, No. 2, 111-116 (2012). MSC: 34C60 78A55 58E50 PDFBibTeX XMLCite \textit{R.-f. Zhang} and \textit{N. Li}, J. Henan Univ., Nat. Sci. 42, No. 2, 111--116 (2012; Zbl 1264.34098)
He, Ji-Huan A remark on “A nonlinear mathematical model of the corneal shape”. (English) Zbl 1257.34010 Nonlinear Anal., Real World Appl. 13, No. 6, 2863-2865 (2012). MSC: 34A45 34B60 34A25 92C05 PDFBibTeX XMLCite \textit{J.-H. He}, Nonlinear Anal., Real World Appl. 13, No. 6, 2863--2865 (2012; Zbl 1257.34010) Full Text: DOI
Kunze, Herb; La Torre, Davide; Vrscay, Edward R. Solving inverse problems for DEs using the collage theorem and entropy maximization. (English) Zbl 1252.65125 Appl. Math. Lett. 25, No. 12, 2306-2311 (2012). MSC: 65L09 34A55 49J15 65K10 65L05 49M30 PDFBibTeX XMLCite \textit{H. Kunze} et al., Appl. Math. Lett. 25, No. 12, 2306--2311 (2012; Zbl 1252.65125) Full Text: DOI
Merdan, Mehmet On the solutions fractional Riccati differential equation with modified Riemann-Liouville derivative. (English) Zbl 1251.34011 Int. J. Differ. Equ. 2012, Article ID 346089, 17 p. (2012). MSC: 34A08 34A25 34A45 34A12 PDFBibTeX XMLCite \textit{M. Merdan}, Int. J. Differ. Equ. 2012, Article ID 346089, 17 p. (2012; Zbl 1251.34011) Full Text: DOI
Wang, Dongling; Xiao, Aiguo Fractional variational integrators for fractional variational problems. (English) Zbl 1239.49028 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 602-610 (2012). MSC: 49K15 34A08 49M30 PDFBibTeX XMLCite \textit{D. Wang} and \textit{A. Xiao}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 602--610 (2012; Zbl 1239.49028) Full Text: DOI
Almeida, Ricardo; Pooseh, Shakoor; Torres, Delfim F. M. Fractional variational problems depending on indefinite integrals. (English) Zbl 1236.49042 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1009-1025 (2012). MSC: 49K05 49S05 26A33 34A08 PDFBibTeX XMLCite \textit{R. Almeida} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1009--1025 (2012; Zbl 1236.49042) Full Text: DOI arXiv
Marx, C. A. Singular components of spectral measures for ergodic Jacobi matrices. (English) Zbl 1317.47030 J. Math. Phys. 52, No. 7, 073508, 10 p. (2011). MSC: 47B36 47B15 39A12 81Q05 81Q10 34D08 37M15 PDFBibTeX XMLCite \textit{C. A. Marx}, J. Math. Phys. 52, No. 7, 073508, 10 p. (2011; Zbl 1317.47030) Full Text: DOI arXiv
Baleanu, Dumitru New treatise in fractional dynamics. (English) Zbl 1264.26007 Luo, Albert C. J. (ed.) et al., Complex systems. Fractionality, time-delay and synchronization. Berlin: Springer; Beijing: Higher Education Press (ISBN 978-3-642-17592-3/hbk; 978-3-642-17593-0/ebook). Nonlinear Physical Science, 1-41 (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 26A33 34A08 49J40 93C83 65T60 PDFBibTeX XMLCite \textit{D. Baleanu}, in: Complex systems. Fractionality, time-delay and synchronization. Berlin: Springer; Beijing: Higher Education Press. 1--41 (2011; Zbl 1264.26007) Full Text: DOI
Zadorozhnii, V. G.; Kurina, G. A. Inverse problem of the variational calculus for differential equations of second order with deviating argument. (English. Russian original) Zbl 1237.49052 Math. Notes 90, No. 2, 218-226 (2011); translation from Mat. Zametki 90, No. 2, 231-241 (2011). MSC: 49N45 49J15 34K29 PDFBibTeX XMLCite \textit{V. G. Zadorozhnii} and \textit{G. A. Kurina}, Math. Notes 90, No. 2, 218--226 (2011; Zbl 1237.49052); translation from Mat. Zametki 90, No. 2, 231--241 (2011) Full Text: DOI
Ordokhani, Y. Direct Walsh-hybrid method for variational problems. (English) Zbl 1244.49059 Int. J. Nonlinear Sci. 11, No. 1, 114-120 (2011). MSC: 49M30 34H05 PDFBibTeX XMLCite \textit{Y. Ordokhani}, Int. J. Nonlinear Sci. 11, No. 1, 114--120 (2011; Zbl 1244.49059)
Rostalski, Philipp; Fotiou, Ioannis A.; Bates, Daniel J.; Beccuti, A. Giovanni; Morari, Manfred Numerical algebraic geometry for optimal control applications. (English) Zbl 1228.49018 SIAM J. Optim. 21, No. 2, 417-437 (2011). MSC: 49K15 93C40 65H10 65H20 49N90 34H05 65K10 49M30 PDFBibTeX XMLCite \textit{P. Rostalski} et al., SIAM J. Optim. 21, No. 2, 417--437 (2011; Zbl 1228.49018) Full Text: DOI Link
Barrio, R.; Rodríguez, M.; Abad, A.; Blesa, F. Breaking the limits: The Taylor series method. (English) Zbl 1219.65064 Appl. Math. Comput. 217, No. 20, 7940-7954 (2011). MSC: 65L05 34A34 34A25 65L70 34-04 65Y15 PDFBibTeX XMLCite \textit{R. Barrio} et al., Appl. Math. Comput. 217, No. 20, 7940--7954 (2011; Zbl 1219.65064) Full Text: DOI
Bellettini, Giovanni; Mugnai, Luca Approximation of Helfrich’s functional via diffuse interfaces. (English) Zbl 1230.49006 SIAM J. Math. Anal. 42, No. 6, 2402-2433 (2010). MSC: 49J45 34K26 49Q15 49Q20 PDFBibTeX XMLCite \textit{G. Bellettini} and \textit{L. Mugnai}, SIAM J. Math. Anal. 42, No. 6, 2402--2433 (2010; Zbl 1230.49006) Full Text: DOI arXiv
Moklyachuk, M. P. Calculus of variations. Extremum problems. (Варіаційне числення. Екстремальні задачі.) (Ukrainian) Zbl 1240.49001 Kiïv: VPTS, Kyïvskyĭ Universytet. 399 p. (2010). MSC: 49-01 93-01 90C39 34H05 49L20 PDFBibTeX XMLCite \textit{M. P. Moklyachuk}, Варіаційне числення. Екстремальні задачі (Ukrainian). Kiïv: VPTS, Kyïvskyĭ Universytet (2010; Zbl 1240.49001)
Colombo, Giovanni; Thibault, Lionel Prox-regular sets and applications. (English) Zbl 1221.49001 Gao, David Yang (ed.) et al., Handbook of nonconvex analysis and applications. Somerville, MA: International Press (ISBN 978-1-57146-200-8/hbk). 99-182 (2010). MSC: 49-02 49J52 49J53 58C05 34G25 PDFBibTeX XMLCite \textit{G. Colombo} and \textit{L. Thibault}, in: Handbook of nonconvex analysis and applications. Somerville, MA: International Press. 99--182 (2010; Zbl 1221.49001)
Yang, Shuiping; Xiao, Aiguo; Su, Hong Convergence of the variational iteration method for solving multi-order fractional differential equations. (English) Zbl 1207.65109 Comput. Math. Appl. 60, No. 10, 2871-2879 (2010). MSC: 65L99 34A08 26A33 45J05 PDFBibTeX XMLCite \textit{S. Yang} et al., Comput. Math. Appl. 60, No. 10, 2871--2879 (2010; Zbl 1207.65109) Full Text: DOI
Salehpoor, Elham; Jafari, Hossein; Afrapoli, Merieh Abbasian Revised variational iteration method for solving systems of ordinary differential equations. (English) Zbl 1197.65087 Appl. Appl. Math., Spec. Iss. 1, 110-121 (2010). MSC: 65L06 34A25 34A30 34A34 65L20 PDFBibTeX XMLCite \textit{E. Salehpoor} et al., Appl. Appl. Math., 110--121 (2010; Zbl 1197.65087) Full Text: Link
Pop, Camelia Numerical integration of a dynamical system on the Lie group \(SO(4)\). (English) Zbl 1213.37117 Găvruţă, Paşcu (ed.) et al., Proceedings of the 12th symposium of mathematics and its applications, “Politehnica” University of Timişoara, Timişoara, Romania, November 5–7, 2009. Timişoara: Editura Politehnica. 261-266 (2010). MSC: 37M15 49M30 34H05 65L06 PDFBibTeX XMLCite \textit{C. Pop}, in: Proceedings of the 12th symposium of mathematics and its applications, ``Politehnica'' University of Timişoara, Timişoara, Romania, November 5--7, 2009. Timişoara: Editura Politehnica. 261--266 (2010; Zbl 1213.37117)
Tarasov, Vasily E. Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media. (English) Zbl 1214.81004 Nonlinear Physical Science. Berlin: Springer; Beijing: Higher Education Press (ISBN 978-3-642-14002-0/hbk; 978-7-04-029473-6/hbk). xv, 504 p. (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 81-02 00A79 26A33 81V25 49S05 81Q35 28A80 34A08 60G22 35R11 PDFBibTeX XMLCite \textit{V. E. Tarasov}, Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media. Berlin: Springer; Beijing: Higher Education Press (2010; Zbl 1214.81004)
Cruz, Pedro A. F.; Torres, Delfim F. M.; Zinober, Alan S. I. A non-classical class of variational problems. (English) Zbl 1218.49038 Int. J. Math. Model. Numer. Optim. 1, No. 3, 227-236 (2010). MSC: 49M30 49N90 91B74 49K15 34H05 PDFBibTeX XMLCite \textit{P. A. F. Cruz} et al., Int. J. Math. Model. Numer. Optim. 1, No. 3, 227--236 (2010; Zbl 1218.49038) Full Text: DOI arXiv
Gouveia, Paulo D. F.; Torres, Delfim F. M. Computing ODE symmetries as abnormal variational symmetries. (English) Zbl 1238.49003 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e138-e146 (2009). MSC: 49-04 49K15 34-04 34C14 PDFBibTeX XMLCite \textit{P. D. F. Gouveia} and \textit{D. F. M. Torres}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e138--e146 (2009; Zbl 1238.49003) Full Text: DOI arXiv
He, Ji-Huan; Lee, E. W. M. Variational principle for the differential-difference system arising in stratified hydrostatic flows. (English) Zbl 1229.76038 Phys. Lett., A 373, No. 18-19, 1644-1645 (2009). MSC: 76D50 34K10 49S05 PDFBibTeX XMLCite \textit{J.-H. He} and \textit{E. W. M. Lee}, Phys. Lett., A 373, No. 18--19, 1644--1645 (2009; Zbl 1229.76038) Full Text: DOI
Lopes, Sofia O.; Fontes, Fernando A. C. C. Necessary conditions of optimality for calculus of variations problems with inequality constraints. (English) Zbl 1187.49014 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 1382-1384 (2009). MSC: 49K15 34H05 PDFBibTeX XMLCite \textit{S. O. Lopes} and \textit{F. A. C. C. Fontes}, AIP Conf. Proc. 1168, 1382--1384 (2009; Zbl 1187.49014) Full Text: DOI
Odibat, Zaid; Bertelle, Cyrille Application of homotopy perturbation method for ecosystems modelling. (English) Zbl 1162.34309 Bertelle, Cyrille (ed.) et al., Complex systems and self-organization modelling. Berlin: Springer (ISBN 978-3-540-88072-1/hbk; 978-3-540-88073-8/ebook). Understanding Complex Systems, 51-61 (2009). MSC: 34A45 34A25 92D25 PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{C. Bertelle}, in: Complex systems and self-organization modelling. Berlin: Springer. 51--61 (2009; Zbl 1162.34309) Full Text: DOI