Generalized Euler-Lagrange equations for fuzzy fractional variational problems under gH-Atangana-Baleanu differentiability
type: Item
instance of: scholarly article
title: Generalized Euler-Lagrange equations for fuzzy fractional variational problems under gH-Atangana-Baleanu differentiability
DOI: 10.1155/2018/2740678
author: Jianke Zhang
author: Gaofeng Wang
author: Chang Zhou
author: Xiao Bin Zhi
published in: Journal of Function Spaces
publication date: 2018-05-15T00:00:00Z
review text: Summary: We study in this paper the Atangana-Baleanu fractional derivative of fuzzy functions based on the generalized Hukuhara difference. Under the condition of gH-Atangana-Baleanu fractional differentiability, we prove the generalized necessary and sufficient optimality conditions for problems of the fuzzy fractional calculus of variations with a Lagrange function. The new kernel of gH-Atangana-Baleanu fractional derivative has no singularity and no locality, which was not precisely illustrated in the previous definitions.
Mathematics Subject Classification ID: 47-XX
zbMATH DE Number: 6868705
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2740678
OpenAlex ID: W2792204853
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Wikidata QID: Q130118051
description: scientific article; zbMATH DE number 6868705