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Generalized Euler–Lagrange equations for fuzzy variational problems

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Abstract

We prove necessary optimality conditions for fuzzy variational problems by using the generalized Hukuhara differentiability concept. The fuzzy basic problem of the calculus of variations with free boundary conditions is considered, as well as problem with holonomic constraints. Examples are considered to demonstrate the applications of the new Euler–Lagrange equations.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Damghan University, Damghan, Iran

    Javad Soolaki, Omid Solaymani Fard & Akbar Hashemi Borzabadi

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  1. Javad Soolaki
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  2. Omid Solaymani Fard
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  3. Akbar Hashemi Borzabadi
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Correspondence to Javad Soolaki.

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Soolaki, J., Fard, O.S. & Borzabadi, A.H. Generalized Euler–Lagrange equations for fuzzy variational problems. SeMA 73, 131–148 (2016). https://doi.org/10.1007/s40324-015-0060-y

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  • DOI: https://doi.org/10.1007/s40324-015-0060-y

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