Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 36, Issue 6, Pages 5533-5545Publisher
IOS PRESS
DOI: 10.3233/JIFS-181369
Keywords
Fuzzy fractional differential equation; initial value problem; strongly generalized Hukuhara differentiability; fractional hyperbolic function; Ulam type stability
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Funding
- Natural Science Foundation of China [61703180]
- Shan dong Provincial Natural Science Foundation [ZR2016AM17]
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This paper reports the investigation of the existence and uniqueness of solution to Cauchy problems for a class of nonlinear fuzzy fractional differential equations with the Riemann-Liouville H-derivative. Further, E-q-Ulam type stability results are presented by using direct analysis methods. Finally, several numerical simulations are provided to verify the correctness and effectiveness of the main results.
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