| 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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