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您的检索式：作者名="Delfim F.M.Torres"
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| 1 | Variational Calculus With Conformable Fractional Derivatives显示文摘Invariant conditions for conformable fractional problems of the calculus of variations under the presence of external forces in the dynamics are studied. Depending on the type of transformations considered, different necessary conditions of invariance are obtained. As particular cases, we prove fractional versions of Noether's symmetry theorem. Invariant conditions for fractional optimal control problems, using the Hamiltonian formalism, are also investigated. As an example of potential application in Physics, we show that with conformable derivatives it is possible to formulate an Action Principle for particles under frictional forces that is far simpler than the one obtained with classical fractional derivatives. | Matheus J.Lazo Delfim F.M.Torres | 2017 | IEEE/CAA Journal of Automatica Sinica2017，4，2： | 4 |
| 2 | Constrained Fractional Variational Problems of Variable Order显示文摘Isoperimetric problems consist in minimizing or maximizing a cost functional subject to an integral constraint.In this work, we present two fractional isoperimetric problems where the Lagrangian depends on a combined Caputo derivative of variable fractional order and we present a new variational problem subject to a holonomic constraint. We establish necessary optimality conditions in order to determine the minimizers of the fractional problems. The terminal point in the cost integral,as well as the terminal state, are considered to be free, and we obtain corresponding natural boundary conditions. | Dina Tavares Ricardo Almeida Delfim F.M.Torres | 2017 | IEEE/CAA Journal of Automatica Sinica2017，4，1： | 1 |
| 3 | ISOPERIMETRIC PROBLEMS OF THE CALCULUS OF VARIATIONS WITH FRACTIONAL DERIVATIVES显示文摘In this article,we study isoperimetric problems of the calculus of variations with left and right Riemann-Liouville fractional derivatives.Both situations when the lower bound of the variational integrals coincide and do not coincide with the lower bound of the fractional derivatives are considered. | Ricardo Almeida Rui A.C.Ferreira Delfim F.M.Torres | 2012 | Acta Mathematica Scientia2012，32，2： | 0 |
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