Generalized Euler-Lagrange equations for fuzzy fractional variational calculus

Javad Soolaki; Omid Solaymani Fard; Akbar Hashemi Borzabadi

Vol. 21 No. 2 (2016)

Regular Articles

Generalized Euler-Lagrange equations for fuzzy fractional variational calculus

Published 2016-03-28

Javad Soolaki
Omid Solaymani Fard
Akbar Hashemi Borzabadi

Javad Soolaki
Damghan University

Omid Solaymani Fard
School of Mathematics and Computer Science, Damghan University, Damghan, Iran

Akbar Hashemi Borzabadi
School of Mathematics and Computer Science, Damghan University, Damghan, Iran

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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.

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