128 citations · 455 across the 16 of their papers we have counts for
21 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…
A remark on local fractional calculus and ordinary derivatives
Ricardo Almeida, Malgorzata Guzowska, Tatiana Odzijewicz
In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some…
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…
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…
Existence of minimizers for generalized Lagrangian functionals and a necessary optimality condition --- Application to fractional variational problems
Loïc Bourdin, Tatiana Odzijewicz, Delfim F. M. Torres
We study dynamic minimization problems of the calculus of variations with generalized Lagrangian functionals that depend on a general linear operator and defined on bounded-tim…