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- University of AveiroPT40 papers
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35 papers · 1 filter
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…
Optimal Control for a Steady State Dead Oil Isotherm Problem
Moulay Rchid Sidi Ammi, Agnieszka B. Malinowska, Delfim F. M. Torres
We study the optimal control of a steady-state dead oil isotherm problem. The problem is described by a system of nonlinear partial differential equations resulting from the tradit…
A Time-Scale Variational Approach to Inflation, Unemployment and Social Loss
Monika Dryl, Agnieszka B. Malinowska, Delfim F. M. Torres
Both inflation and unemployment inflict social losses. When a tradeoff exists between the two, what would be the best combination of inflation and unemployment? A well known approa…
Noether's theorem for fractional variational problems of variable order
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We prove a necessary optimality condition of Euler-Lagrange type for fractional variational problems with derivatives of incommensurate variable order. This allows us to state a ve…
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…
Generalized Transversality Conditions in Fractional Calculus of Variations
Ricardo Almeida, Agnieszka B. Malinowska
Problems of calculus of variations with variable endpoints cannot be solved without transversality conditions. Here, we establish such type of conditions for fractional variational…