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Fuzzy Homotopy Analysis Method For Solving Fuzzy Riccati Differential Equation

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Published under licence by IOP Publishing Ltd
, , Citation Hadeer A Sabr et al 2021 J. Phys.: Conf. Ser. 1963 012057 DOI 10.1088/1742-6596/1963/1/012057

1742-6596/1963/1/012057

Abstract

In this work, we have used fuzzy homotopy analysis method to find the fuzzy series solution (fuzzy semi-analytical solution) of the first order fuzzy Riccati differential equation. The fuzzy approximate-analytical solutions that we obtained during this paper are accurate solutions and very close to the fuzzy exact-analytical solutions. Some numerical results are given to illustrate the method. The obtained numerical results are compared with the exact solutions.

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10.1088/1742-6596/1963/1/012057