
doi: 10.11948/2016010
Summary: In this paper, the fuzzy Basset equation is introduced. This problem is related to the motion of a sphere in a viscous liquid when its parameters are fuzzy numbers. We investigate the existence and uniqueness of solution with converting the problem to a system of fuzzy fractional differential equation, and the solution is also obtained under Caputo generalized Hukuhara differentiability. Some examples show the effectiveness and efficiency our approach.
system of fuzzy fractional differential equations, Fuzzy ordinary differential equations, fuzzy Basset equation, Fractional ordinary differential equations, Caputo generalized Hukuhara differentiability
system of fuzzy fractional differential equations, Fuzzy ordinary differential equations, fuzzy Basset equation, Fractional ordinary differential equations, Caputo generalized Hukuhara differentiability
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