Found 53 Documents (Results 1–53)
Optimality conditions involving the Mittag-Leffler tempered fractional derivative. (English) Zbl 1497.49009
Reviewer: Alain Brillard (Riedisheim)
Uniform bounded input bounded output stability of fractional-order delay nonlinear systems with input. (English) Zbl 1525.93359
Optimality conditions for variational problems involving distributed-order fractional derivatives with arbitrary kernels. (English) Zbl 1484.49039
On the existence of optimal consensus control for the fractional Cucker-Smale model. (English) Zbl 1457.93073
Fractional variational principle of Herglotz for a new class of problems with dependence on the boundaries and a real parameter. (English) Zbl 1471.49016
An extension of the fractional Gronwall inequality. (English) Zbl 1428.26031
Malinowska, Agnieszka B. (ed.) et al., Advances in non-integer order calculus and its applications. Proceedings of the 10th international conference on non-integer order calculus and its applications, Bialystok University of Technology, Białystok, Poland, September 20–21, 2018. Cham: Springer. Lect. Notes Electr. Eng. 559, 20-28 (2020).
Further properties of Osler’s generalized fractional integrals and derivatives with respect to another function. (English) Zbl 1434.26006
Optimal leader-follower control for the fractional opinion formation model. (English) Zbl 1422.49027
Analysis and numerical approximation of tempered fractional calculus of variations problems. (English) Zbl 1425.49015
The variable-order fractional calculus of variations. (English) Zbl 1402.49002
SpringerBriefs in Applied Sciences and Technology. Cham: Springer (ISBN 978-3-319-94005-2/pbk; 978-3-319-94006-9/ebook). xiv, 124 p. (2019).
Reviewer: Igor Bock (Bratislava)
Combined fractional variational problems of variable order and some computational aspects. (English) Zbl 1392.49023
Optimality conditions for fractional variational problems with free terminal time. (English) Zbl 1379.49014
A survey on fractional variational calculus. arXiv:1806.05092
Preprint, arXiv:1806.05092 [math.OC] (2018).
A Caputo fractional derivative of a function with respect to another function. (English) Zbl 1465.26005
Variational problems involving a Caputo-type fractional derivative. (English) Zbl 1379.26009
Reviewer: Vyacheslav I. Maksimov (Ekaterinburg)
A scale variational principle of Herglotz. (English) Zbl 1389.49012
Reviewer: Alain Brillard (Riedisheim)
Fractional variational problems depending on indefinite integrals and with delay. (English) Zbl 1356.49035
A numerical method to solve higher-order fractional differential equations. (English) Zbl 1350.26010
Constrained fractional variational problems of variable order. arXiv:1606.07512
Preprint, arXiv:1606.07512 [math.OC] (2016).
Numerical solution for fractional variational problems using the Jacobi polynomials. (English) Zbl 1443.49039
Computational methods in the fractional calculus of variations. (English) Zbl 1322.49001
London: Imperial College Press (ISBN 978-1-78326-640-1/hbk). xii, 266 p. (2015).
Reviewer: Wiesław Kotarski (Sosnowiec)
Optimality conditions for fractional variational problems with dependence on a combined Caputo derivative of variable order. (English) Zbl 1317.49022
Existence results for fractional \(q\)-difference equations of order \(\alpha\in]2,3[\) with three-point boundary conditions. (English) Zbl 1457.39003
A Discretization Method to Solve Fractional Variational Problems with Dependence on Hadamard Derivatives. arXiv:1402.3730
Preprint, arXiv:1402.3730 [math.OC] (2014).
A generalized fractional variational problem depending on indefinite integrals: Euler-Lagrange equation and numerical solution. (English) Zbl 1358.93098
General necessary conditions for infinite horizon fractional variational problems. (English) Zbl 1325.49026
Generalized transversality conditions in fractional calculus of variations. (English) Zbl 1279.49006
A discrete time method to the first variation of fractional order variational functionals. arXiv:1305.1859
Preprint, arXiv:1305.1859 [math.OC] (2013).
An expansion formula with higher-order derivatives for fractional operators of variable order. arXiv:1309.4899
Preprint, arXiv:1309.4899 [math.CA] (2013).
A numerical scheme to solve fractional optimal control problems. arXiv:1306.0203
Preprint, arXiv:1306.0203 [math.OC] (2013).
Isoperimetric problems of the calculus of variations with fractional derivatives. (English) Zbl 1265.49022
Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative. (English) Zbl 1248.26013
Reviewer: S. L. Kalla (Ellisville)
Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives. (English) Zbl 1221.49038
Fractional Euler-Lagrange differential equations via Caputo derivatives. arXiv:1109.0658
Preprint, arXiv:1109.0658 [math.OC] (2011).
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