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Volume 6, Number 1, 2016, Pages 119-130                                                                DOI:10.11948/2016010
General solution of Basset equation with Caputo generalized Hukuhara derivative
A. Armand,T. Allahviranloo,Z. Gouyandeh
Keywords:Quasilinear degenerate elliptic system; Palais-Smale condition; mountain pass theorem; existence.
Abstract:
      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.
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