On fuzzy boundary value problems

DOI10.1016/j.ins.2007.11.017zbMath1157.34008OpenAlexW1978006138MaRDI QIDQ2476895

Guoqing Liu, Minghao Chen, Congxin Wu, Xiao-Ping Xue

Publication date: 12 March 2008

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2007.11.017

zbMATH Keywords

Green's functiontwo-point boundary value problemintegration by partsfuzzy differential equationparametric representation of fuzzy number

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear differential equations in abstract spaces (34G20) Fuzzy real analysis (26E50)

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Cites Work

• Unnamed Item
• Elementary fuzzy calculus
• Differentials of fuzzy functions
• Numerical solution of fuzzy differential equations by predictor-corrector method
• First order linear fuzzy differential equations under generalized differentiability
• The Cauchy problem for fuzzy differential equations
• Towards fuzzy differential calculus. I: Integration of fuzzy mappings
• Towards fuzzy differential calculus. II: Integration on fuzzy intervals
• Towards fuzzy differential calculus. III: Differentiation
• Embedding problem of fuzzy number space. I
• Carathéodory solutions of fuzzy differential equations
• Initial and boundary value problems for fuzzy differential equations.
• Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
• Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations
• Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coefficients
• A note on ``Two-point boundary value problems associated with non-linear fuzzy differential equations
• Toward a generalized theory of uncertainty (GTU) -- an outline
• Two-point boundary value problems associated with non-linear fuzzy differential equations
• Operations on fuzzy numbers
• Fuzzy differential equations
• On Henstock integral of fuzzy-number-valued functions. I