Toward the existence and uniqueness of solutions of second-order fuzzy differential equations
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Publication:1006763
DOI10.1016/J.INS.2008.11.004zbMath1171.34301OpenAlexW2066805416MaRDI QIDQ1006763
Mohammad Ali Barkhordari, Narsis A. Kiani, Tofigh Allahviranloo
Publication date: 25 March 2009
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ins.2008.11.004
fuzzy numberfuzzy-valued functiongeneralized differentiability\(H\)-differencesecond-order fuzzy differential equations
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Cites Work
- Unnamed Item
- 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
- On the fuzzy initial value problem
- Towards fuzzy differential calculus. III: Differentiation
- Existence theorems to the Cauchy problem for fuzzy differential equations under compactness-type conditions
- Numerical solutions of fuzzy differential equations
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- On Cauchy problemsfor fuzzydifferential equations
- Numerical methods for fuzzy differential inclusions
- Almost periodic fuzzy-number-valued functions
- Fuzzy differential equations and the extension principle
- Existence, uniqueness and asymptotic behavior of the solutions of a fuzzy differential equation with piecewise constant argument
- Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coefficients
- Comparison results for fuzzy differential equations
- Toward a generalized theory of uncertainty (GTU) -- an outline
- Initial value problems for higher-order fuzzy differential equations
- On Fuzzy Mapping and Control
- Fuzzy differential equations
- Fuzzy differential equations
- On Henstock integral of fuzzy-number-valued functions. I
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