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Generalized Fuzzy Euler-Lagrange equations and transversality conditions
O. S. Fard, R. Almeida, J. Soolaki +1
The study of fuzzy fractional variational problems in terms of a fractional Liouville-Caputo derivative is introduced. Necessary optimality conditions for problems of the fuzzy fra…
Constrained fractional variational problems of variable order
Dina Tavares, Ricardo Almeida, Delfim F. M. Torres
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…
A Scale Variational Principle of Herglotz
Ricardo Almeida
The Herglotz problem is a generalization of the fundamental problem of the calculus of variations. In this paper, we consider a class of non-differentiable functions, where the dyn…
Variational Problems Involving a Caputo-Type Fractional Derivative
Ricardo Almeida
The aim of this paper is to study certain problems of calculus of variations, that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fract…