On solutions of fuzzy fractional order complex population dynamical model

Numerical Methods for Partial Differential Equations(2020)

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摘要
Uncertainty always involved in our life activities because we cannot measure a physical quantity accurately. This situation has handled by fuzzy systems and fuzzy differential equations. Recently, fuzzy fractional differential equations got tremendous attention of the researchers of the current century because these operators model the real phenomenon more accurately than integer-order and fractional-order operators. Therefore, we investigate the complex population dynamical model under the fuzzy Caputo fractional derivative. Since the Laplace transform has a high convergence rate among all transform methods, so we use fuzzy Laplace transform along with Adomian decomposition to obtain general numerical results for the proposed model. We provide two examples to support the proposed procedure. We simulate the numerical results in terms of graphs for the various fractional-order and at uncertainty r is an element of [0, 1].
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关键词
Adomian decomposition, fuzzy differential equations, fuzzy Laplace transform, uncertainty
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