Results 11 to 20 of about 200 (37)

Time-Fractional Optimal Control of Initial Value Problems on Time Scales

, 2019
We investigate Optimal Control Problems (OCP) for fractional systems involving fractional-time derivatives on time scales. The fractional-time derivatives and integrals are considered, on time scales, in the Riemann--Liouville sense.
A Ahmadkhanlu, A Cabada, AB Malinowska, B Bayour, Benaoumeur Bayour, Benaoumeur Bayour, D Baleanu, D Baleanu, D Idczak, D Mozyrska, E Hernández, EG Bajlekova, ER Nwaeze, G Mophou, GM Bahaa, GM Mophou, GSF Frederico, GSF Frederico, I Podlubny, K Mekhalfi, L Bourdin, M Bohner, M Bohner, MC Caputo, Monika Dryl, Moulay Rchid Sidi Ammi, Moulay Rchid Sidi Ammi, N Benkhettou, N Benkhettou, N Benkhettou, N Benkhettou, N Özdemir, NRO Bastos, NRO Bastos, NRO Bastos, O Lavrova, OP Agrawal, OP Agrawal, R Almeida, RP Agarwal, RP Agarwal, S Abbas, T Abdeljawad, Thabet Abdeljawad   +43 more
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Delta-Nabla Optimal Control Problems

, 2010
We present a unified treatment to control problems on an arbitrary time scale by introducing the study of forward-backward optimal control problems. Necessary optimality conditions for delta-nabla isoperimetric problems are proved, and previous results ...
Agnieszka B Malinowska, Aulbach B., Bohner M., Delfim FM Torres, Ewa Girejko, Girejko E., Malinowska AB, Malinowska AB   +7 more
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Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales [PDF]

, 2012
We obtain Euler-Lagrange and transversality optimality conditions for higher-order infinite horizon variational problems on a time scale. The new necessary optimality conditions improve the classical results both in the continuous and discrete settings ...
A.B. Malinowska, A.B. Malinowska, A.C. Chiang, A.J. Zaslavski, B.S. Mordukhovich, C.C. Weizsäcker von, D. Gale, Delfim F. M. Torres, F.M. Atici, F.M. Atici, I.E. Schochetman, M. Bohner, M. Bohner, M. Bohner, N. Martins, N. Martins, Natália Martins, R. Almeida, R. Okomura, R.A.C. Ferreira, R.A.C. Ferreira, S. Lang, S.P. Sethi, V. Kac, W.A. Brock   +24 more
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Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales [PDF]

, 2016
In this paper, we establish the criteria for the existence and uniqueness of solutions of a three-point boundary value problem for a class of fractional differential equations on time scales.
Liceli, Onur, Yaslan, İsmail
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Transversality Conditions for Infinite Horizon Variational Problems on Time Scales

, 2010
We consider problems of the calculus of variations on unbounded time scales. We prove the validity of the Euler-Lagrange equation on time scales for infinite horizon problems, and a new transversality condition.Comment: Submitted 6-October-2009; Accepted
A.B. Malinowska, A.C. Chiang, Agnieszka B. Malinowska, B. Beavis, C.C. Von Weiszacker, D. Cai, D. Gale, D. Kravvaritis, Delfim F. M. Torres, F. Giannessi, F. Ramsey, F.M. Atici, F.M. Atici, F.M. Atici, I.E. Schochetman, M. Bohner, M. Bohner, M. Bohner, M. Bohner, N. Martins, Natália Martins, P. Michel, P.M. Pardalos, P.S. Dasgupta, R. Almeida, R. Okomura, S. Lang, T. Kamihigashi, W.A. Brock, Z. Bartosiewicz   +29 more
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Avoidance Control on Time Scales

, 2009
We consider dynamic systems on time scales under the control of two agents. One of the agents desires to keep the state of the system out of a given set regardless of the other agent's actions.
A. Bressan, A. Cabada, A. Cabada, A.F. Filippov, A.N. Kolmogorov, B.R. Barmish, D. F. M. Torres, E. Pawłuszewicz, E.D. Sontag, G. Leitmann, G. Leitmann, G. Leitmann, J.J. DaCunha, M. Bohner, M. Bohner, M. Corless, M. Corless, R. Aggarwal, R.P. Agarwal, Z. Bartosiewicz   +19 more
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Some new dynamic Inequality on time scales in three variables

, 2016
In this paper we obtain the estimates on some dynamic integral inequalities in three variables which can be used to study certain dynamic equations.
Pachpatte, Deepak B.
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Necessary optimality conditions for infinite horizon variational problems on time scales [PDF]

, 2012
We prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales.
A. B. Malinowska, A. B. Malinowska, A. B. Malinowska, A. B. Malinowska, D. F. M. Torres, G. Leitmann, M. Bohner, M. Bohner, M. C. Caputo, N. Martins, N. Martins, N. Martins, S. Lang   +12 more
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Halanay type inequalities on time scales with applications

, 2011
This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that beside generalization and
Adıvar, Murat, Bohner, Elvan Akın
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Permanence and almost periodic solution of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales

, 2015
In this paper, we consider the almost periodic dynamics of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales. By establishing some dynamic inequalities on time scales, a permanence result for the model is obtained ...
Li, Yongkun, Wang, Pan
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