128 citations · 1.4k across the 47 of their papers we have counts for
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Fractional Variational Principle of Herglotz
Ricardo Almeida, Agnieszka B. Malinowska
The aim of this paper is to bring together two approaches to non-conservative systems -- the generalized variational principle of Herglotz and the fractional calculus of variations…
The second Noether theorem on time scale
Agnieszka B. Malinowska, Natália Martins
We extend the second Noether theorem to variational problems on time scales. Our result provides as corollaries the classical second Noether theorem, the second Noether theorem for…
Noether's Theorem for Control Problems on Time Scales
Agnieszka B. Malinowska, Moulay Rchid Sidi Ammi
We prove a generalization of Noether's theorem for optimal control problems defined on time scales. Particularly, our results can be used for discrete-time, quantum, and continuous…
Generalized Fractional Calculus of Variations
Tatiana Odzijewicz
In this PhD thesis we introduce a generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives, and s…
An Inverse Problem of the Calculus of Variations on Arbitrary Time Scales
Monika Dryl, Agnieszka B. Malinowska, Delfim F. M. Torres
We consider an inverse extremal problem for variational functionals on arbitrary time scales. Using the Euler-Lagrange equation and the strengthened Legendre condition, we derive a…
The Generalized Fractional Calculus of Variations
Tatiana Odzijewicz, Delfim F. M. Torres
We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them usin…