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- University of AveiroPT40 papers
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4 papers · 1 filter
Fractional Calculus of Variations of Several Independent Variables
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We prove multidimensional integration by parts formulas for generalized fractional derivatives and integrals. The new results allow us to obtain optimality conditions for multidime…
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…