Original scientific paper

Generalized Euler-Lagrange equations for fuzzy fractional variational calculus

Javad Soolaki ; School of Mathematics and Computer Science, Damghan University, Damghan, Iran
Omid Solaymani Fard
Akbar Hashemi Borzabadi

Abstract

This paper presents the necessary optimality conditions of Euler–Lagrange type for variational problems with natural boundary conditions and problems with holonomic constraints where the fuzzy fractional derivative is described in the combined Caputo sense. The new results are illustrated by computing the extremals of two fuzzy variational problems.

Keywords

fuzzy fractional variational problem; fuzzy fractional holonomic problem; fuzzy fractional Euler–Lagrange equations

Hrčak ID:

170384

URI

https://hrcak.srce.hr/170384

Publication date:

11.11.2016.

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