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Jan 2017 Generalized Fuzzy Euler–Lagrange equations and transversality conditions
Omid Solaymani Fard, Ricardo Almeida, Javad Soolaki, Akbar Hashemi Borzabadi
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Tbilisi Math. J. 10(1): 249-267 (Jan 2017). DOI: 10.1515/tmj-2017-0015

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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Omid Solaymani Fard. Ricardo Almeida. Javad Soolaki. Akbar Hashemi Borzabadi. "Generalized Fuzzy Euler–Lagrange equations and transversality conditions." Tbilisi Math. J. 10 (1) 249 - 267, Jan 2017. https://doi.org/10.1515/tmj-2017-0015

Information

Received: 20 August 2016; Accepted: 31 August 2016; Published: Jan 2017
First available in Project Euclid: 26 May 2018

zbMATH: 1364.93421
MathSciNet: MR3635798
Digital Object Identifier: 10.1515/tmj-2017-0015

Subjects:
Primary: 93C42
Secondary: 34A07 , 34A08 , 93D05

Keywords: Fuzzy fractional Euler–Lagrange conditions , Fuzzy fractional variational problems , Fuzzy Liouville–Caputo derivative

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

Vol.10 • No. 1 • Jan 2017
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