129 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of AveiroPT40 papers
- University of BiałystokPL4 papers
- Belarusian State University of Informatics and RadioelectronicsBY2 papers
- Cardinal Stefan Wyszynski University in WarsawPL2 papers
- Maharaja Sayajirao University of BarodaIN2 papers
- National Louis UniversityUS2 papers
- National-Louis UniversityPL2 papers
- SGH Warsaw School of EconomicsPL2 papers
- Universidad de Las Palmas de Gran CanariaES2 papers
- WSB Merito University in GdańskPL2 papers
- Astronomical Institute of the Slovak Academy of SciencesSK1 paper
- Astronomical ObservatoryRS1 paper
11 papers · 1 filter
Optimality conditions for the calculus of variations with higher-order delta derivatives
Rui A. C. Ferreira, Agnieszka B. Malinowska, Delfim F. M. Torres
We prove the Euler-Lagrange delta-differential equations for problems of the calculus of variations on arbitrary time scales with delta-integral functionals depending on higher-ord…
Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems
Dorota Mozyrska, Delfim F. M. Torres
Fractional systems with Riemann-Liouville derivatives are considered. The initial memory value problem is posed and studied. We obtain explicit steering laws with respect to the va…
Delta-Nabla Optimal Control Problems
Ewa Girejko, Agnieszka B. Malinowska, Delfim F. M. Torres
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…
A General Backwards Calculus of Variations via Duality
Agnieszka B. Malinowska, Delfim F. M. Torres
We prove Euler-Lagrange and natural boundary necessary optimality conditions for problems of the calculus of variations which are given by a composition of nabla integrals on an ar…
The contingent epiderivative and the calculus of variations on time scales
Ewa Girejko, Agnieszka B. Malinowska, Delfim F. M. Torres
The calculus of variations on time scales is considered. We propose a new approach to the subject that consists in applying a differentiation tool called the contingent epiderivati…
The Hahn Quantum Variational Calculus
Agnieszka B. Malinowska, Delfim F. M. Torres
We introduce the Hahn quantum variational calculus. Necessary and sufficient optimality conditions for the basic, isoperimetric, and Hahn quantum Lagrange problems, are studied. We…
A unified approach to the calculus of variations on time scales
Ewa Girejko, Agnieszka B. Malinowska, Delfim F. M. Torres
In this work we propose a new and more general approach to the calculus of variations on time scales that allows to obtain, as particular cases, both delta and nabla results. More…
The Second Euler-Lagrange Equation of Variational Calculus on Time Scales
Zbigniew Bartosiewicz, Natalia Martins, Delfim F. M. Torres
The fundamental problem of the calculus of variations on time scales concerns the minimization of a delta-integral over all trajectories satisfying given boundary conditions. In th…
Transversality Conditions for Infinite Horizon Variational Problems on Time Scales
Agnieszka B. Malinowska, Natalia Martins, Delfim F. M. Torres
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…
The generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
Agnieszka B. Malinowska, Delfim F. M. Torres
This paper presents necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrangian depending on the free end-points. The fra…
A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String
Ricardo Almeida, Agnieszka B. Malinowska, Delfim F. M. Torres
We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integral…