Generalized Euler-Lagrange Equations for Fuzzy Fractional Variational Problems under gH-Atangana-Baleanu Differentiability
Joint Authors
Zhou, Chang
Wang, Gaofeng
Zhi, Xiaobin
Zhang, Jianke
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-19
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhang, Jianke& Wang, Gaofeng& Zhi, Xiaobin& Zhou, Chang. 2018. Generalized Euler-Lagrange Equations for Fuzzy Fractional Variational Problems under gH-Atangana-Baleanu Differentiability. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1185961
Modern Language Association (MLA)
Zhang, Jianke…[et al.]. Generalized Euler-Lagrange Equations for Fuzzy Fractional Variational Problems under gH-Atangana-Baleanu Differentiability. Journal of Function Spaces No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1185961
American Medical Association (AMA)
Zhang, Jianke& Wang, Gaofeng& Zhi, Xiaobin& Zhou, Chang. Generalized Euler-Lagrange Equations for Fuzzy Fractional Variational Problems under gH-Atangana-Baleanu Differentiability. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1185961
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185961