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- Centre National de la Recherche ScientifiqueFR16 papers
- University of CoimbraPT16 papers
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9 papers · 2 filters
The DuBois-Reymond Fundamental Lemma of the Fractional Calculus of Variations and an Euler-Lagrange Equation Involving only Derivatives of Caputo
Matheus J. Lazo, Delfim F. M. Torres
Derivatives and integrals of non-integer order were introduced more than three centuries ago, but only recently gained more attention due to their application on nonlocal phenomena…
Hahn's Symmetric Quantum Variational Calculus
Artur M. C. Brito da Cruz, Natalia Martins, Delfim F. M. Torres
We introduce and develop the Hahn symmetric quantum calculus with applications to the calculus of variations. Namely, we obtain a necessary optimality condition of Euler-Lagrange t…
Variable Order Fractional Variational Calculus for Double Integrals
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We introduce three types of partial fractional operators of variable order. An integration by parts formula for partial fractional integrals of variable order and an extension of G…
Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives
Gastao S. F. Frederico, Delfim F. M. Torres
We prove a Noether type symmetry theorem to fractional problems of the calculus of variations with classical and Riemann-Liouville derivatives. As result, we obtain constants of mo…
Modeling and Optimal Control Applied to a Vector Borne Disease
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
A model with six mutually-exclusive compartments related to Dengue disease is presented. In this model there are three vector control tools: insecticides (larvicide and adulticide)…
Optimal Control of Nonlocal Thermistor Equations
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We are concerned with the optimal control problem of the well known nonlocal thermistor problem, i.e., in studying the heat transfer in the resistor device whose electrical conduct…