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.
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页数：47
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