Higher-order derivative of uncertain process and higher-order uncertain differential equation
Fuzzy Optimization and Decision Making(2024)
摘要
This paper initializes higher-order uncertain calculus that deals with higher-order differentiation and multiple integration of uncertain process based on uncertainty theory. Fubini theorem and fundamental theorem of higher-order uncertain calculus are derived. Finally, this paper rigorously defines higher-order uncertain differential equations and introduces some analytic methods for solving these equations.
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关键词
Uncertainty theory,Uncertain calculus,Uncertain differential equation,Higher-order derivative
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