Existence and uniqueness results for fractional differential equations with uncertainty
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Publication:320385
DOI10.1186/1687-1847-2012-112zbMath1350.34011OpenAlexW2132943071WikidataQ59289068 ScholiaQ59289068MaRDI QIDQ320385
Dumitru Baleanu, Saeid Abbasbandy, Soheil Salahshour, Tofigh Allahviranloo
Publication date: 6 October 2016
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2012-112
Caputo's H-differentiabilityfuzzy fractional differential equations (FFDEs)Riemann-Liouville's H-differentiability
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving fuzzy fractional differential equations by fuzzy Laplace transforms
- Differentials of fuzzy functions
- On the concept of solution for fractional differential equations with uncertainty
- Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
- An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method
- Towards fuzzy differential calculus. III: Differentiation
- Numerical solutions of fuzzy differential and integral equations
- Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
- The improper fuzzy Riemann integral and its numerical integration
- Approximate solutions, existence, and uniqueness of the Cauchy problem of fuzzy differential equations
- Explicit solutions of fractional differential equations with uncertainty
- Fuzzy sets
- Fuzzy random variables
- Analysis of fractional differential equations