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

被引：0

作者：

Ullah, Abd ^{[1
]}

Ullah, Aman ^{[1
]}

Ahmad, Shabir ^{[1
]}

Hoa, Ngo Van ^{[2
,3
]}

机构：

[1] Univ Malakand, Dept Math, Dir Lower, Khyber Pakhunkh, Pakistan

[2] Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

[3] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

来源：

FUZZY SETS AND SYSTEMS | 2023年 / 473卷

关键词：

Fuzzy Laplace-like transform; Fuzzy differential equations; Fuzzy fractional differential equations; Fuzzy partial differential equations; Adomian decomposition; CALCULUS;

D O I：

10.1016/j.fss.2023.108739

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

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.

引用

页数：47

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