Low-Regret Control for a Fractional Wave Equation With Incomplete Data
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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Springeropen
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Top 10%
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Top 10%
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Top 10%
Abstract
We investigate in this manuscript an optimal control problem for a fractional wave equation involving the fractional Riemann-Liouville derivative and with missing initial condition. For this purpose, we use the concept of no-regret and low-regret controls. Assuming that the missing datum belongs to a certain space we show the existence and the uniqueness of the low-regret control. Besides, its convergence to the no-regret control is discussed together with the optimality system describing the no-regret control.
Description
Mophou, Gisele/0000-0001-7949-8152
ORCID
Keywords
Riemann-Liouville Fractional Derivative, Caputo Fractional Derivative, Optimal Control, No-Regret Control, Low-Regret Control, low-regret control, Artificial intelligence, Riemann-Liouville fractional derivative, Control (management), [MATH] Mathematics [math], Theory and Applications of Fractional Differential Equations, Mathematical analysis, optimal control, Differential equation, Numerical Integration Methods for Differential Equations, FOS: Mathematics, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Algebra and Number Theory, Caputo fractional derivative, Applied Mathematics, Mathematical optimization, Statistics, Partial differential equation, Applied mathematics, Computer science, Optimal control, no-regret control, Fractional Derivatives, Regret, Modeling and Simulation, Physical Sciences, Uniqueness, Analysis, Mathematics, Ordinary differential equation, Control/observation systems governed by functional-differential equations, Optimality conditions for problems involving partial differential equations, Fractional partial differential equations
Fields of Science
0209 industrial biotechnology, 02 engineering and technology, 01 natural sciences, 0101 mathematics
Citation
Baleanu, D., Joseph, C., Mophou, G. (2016). Low-regret control for a fractional wave equation with incomplete data. Advances In Difference Equations. http://dx.doi.org/10.1186/s13662-016-0970-8
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
18
Source
Advances in Difference Equations
Volume
2016
Issue
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CrossRef : 3
Scopus : 22
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Mendeley Readers : 3
SCOPUS™ Citations
23
checked on Feb 24, 2026
Web of Science™ Citations
12
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2
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