Hybrid fuzzy Laplace-like transforms for solving fractional-order fuzzy differential equations

FUZZY SETS AND SYSTEMS(2023)

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摘要
The main purpose of this paper is to introduce a novel technique called the hybrid fuzzy Laplace -like transform method (HFLTM) for solving nonlinear forms of fuzzy fractional differential equations (FFDEs) and fuzzy partial differential equations (FPDEs). The HFLTM combines the Adomian decomposition method with the Laplace-like transform, utilizing the framework of gH-differentiability. General algorithms based on the HFLTM are presented for solving nonlinear FFDEs and FPDEs. The effectiveness and accuracy of this new method are demonstrated through and simulations.
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关键词
Fuzzy Laplace-like transform,Fuzzy differential equations,Fuzzy fractional differential equations,Fuzzy partial differential equations,Adomian decomposition
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