Generalized Fuzzy Euler-Lagrange equations and transversality conditions
O.S. Fard, R. Almeida, J. Soolaki, A.H. Borzabadi
TL;DR
This paper develops generalized fuzzy Euler-Lagrange equations and transversality conditions for fuzzy fractional variational problems involving Liouville-Caputo derivatives, extending classical calculus of variations to fuzzy fractional contexts.
Contribution
It introduces necessary optimality and transversality conditions for fuzzy fractional variational problems with free end-points, expanding the theoretical framework.
Findings
Derived fuzzy Euler-Lagrange equations for fractional variational problems.
Established transversality conditions for free end-point problems.
Extended classical calculus of variations to fuzzy fractional derivatives.
Abstract
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 fractional calculus of variations with free end-points are proved, as well as transversality conditions.
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Taxonomy
TopicsFuzzy Systems and Optimization · Optimization and Variational Analysis · Fractional Differential Equations Solutions