4 papers
A formulation of Noether's theorem for fuzzy problems of the calculus of variations
J. Soolaki, O. S. Fard, R. Almeida +1
The theory of the calculus of variations for fuzzy systems was recently initiated in [7], with the proof of the fuzzy Euler-Lagrange equation. Using fuzzy Euler-Lagrange equation,…
A necessary condition of Pontryagin type for fuzzy fractional optimal control problems
Omid S. Fard, Javad Soolaki, Delfim F. M. Torres
We prove necessary optimality conditions of Pontryagin type for a class of fuzzy fractional optimal control problems with the fuzzy fractional derivative described in the Caputo se…
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…
A Hukuhara approach to the study of hybrid fuzzy systems on time scales
Omid S. Fard, Delfim F. M. Torres, Mohadeseh R. Zadeh
We introduce a new approach to study the practical stability of hybrid fuzzy systems on time scales in the Lyapunov sense. Our method is based on the delta-Hukuhara derivative for…