128 citations · 1.4k across the 47 of their papers we have counts for
54 papers
Non-invasive control of the fractional Hegselmann-Krause type model
Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
In this paper, the fractional order Hegselmann-Krause type model with leadership is studied.We seek an optimal control strategy for the system to reach a consensus in such a way th…
Fractional differential equations with dependence on the Caputo-Katugampola derivative
Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
In this paper we present a new type of fractional operator, the Caputo-Katugampola derivative. The Caputo and the Caputo-Hadamard fractional derivatives are special cases of this n…
Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
Ricardo Almeida, Agnieszka B. Malinowska, M. Luísa Morgado +1
The fractional Sturm-Liouville eigenvalue problem appears in many situations, e.g., while solving anomalous diffusion equations coming from physical and engineering applications. T…
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…