A Survey on Fuzzy Fractional Differential and Optimal Control Nonlocal Evolution Equations
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
BRONZE
Green Open Access
Yes
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Publicly Funded
No
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Impulse
Top 1%
Influence
Top 10%
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Top 1%
Abstract
We survey some representative results on fuzzy fractional differential equations, controllability, approximate controllability, optimal control, and optimal feedback control for several different kinds of fractional evolution equations. Optimality and relaxation of multiple control problems, described by nonlinear fractional differential equations with nonlocal control conditions in Banach spaces, are considered. (C) 2017 Elsevier B.V. All rights reserved.
Description
Torres, Delfim F. M./0000-0001-8641-2505; Nieto, Juan J./0000-0001-8202-6578; Agarwal, Ravi P/0000-0003-0075-1704
Keywords
Fuzzy Fractional Differential Equations, Fractional Evolution Equations, Numerical Solutions, Controllability, Optimal Control, Nonlocal Conditions, Controllability, Numerical solutions, Fuzzy fractional differential equations, Optimal control, Fractional evolution equations, Optimization and Control (math.OC), FOS: Mathematics, Nonlocal conditions, 26A33, 26E50, 34A07, 34A08, 49J15, 49J45, 93B05, 93C25, Mathematics - Optimization and Control, Fuzzy ordinary differential equations, nonlocal conditions, Fractional ordinary differential equations, controllability, fuzzy fractional differential equations, optimal control, Existence theories for optimal control problems involving ordinary differential equations, Stabilization of systems by feedback, fractional evolution equations, numerical solutions
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Agarwal, Ravi P...et al. (2018). "A survey on fuzzy fractional differential and optimal control nonlocal evolution equations", Journal of Computational and Applied Mathematics, Vol. 339, pp.. 3-29.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
142
Source
Journal of Computational and Applied Mathematics
Volume
339
Issue
Start Page
3
End Page
29
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CrossRef : 11
Scopus : 178
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Mendeley Readers : 29
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178
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165
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2
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