Solving fuzzy fractional q-differential equations via fuzzy q-differential transform

被引：1
作者：
Osman, Mawia [1 ]
Xia, Yonghui [1 ]
机构：
[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua, Zhejiang, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2023年 / 44卷 / 02期
关键词：
Fuzzy numbers; fuzzy-valued functions; fuzzy q-derivative; fuzzy q-fractional derivative; gH-differentiability; fuzzy q-differential transform method; VALUED FUNCTIONS; INTEGRAL-EQUATIONS; DERIVATIVES; EXISTENCE; CALCULUS; SYSTEMS;
D O I：
10.3233/JIFS-222567
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper proposes a method for solving fuzzy linear and nonlinear partial q-differential equations by the fuzzy q-differential transform. Further, we implemented the fuzzy fractional q-differential transform for solving some types of fuzzy fractional q-differential equations. The technique investigated is based on gH-differentiability, fuzzy q-derivative, and fuzzy q-fractional derivative. Various concrete problems have been tested by implementing the new method, and the results show great performance. The results also reveal that the method is a very effective and quite accurate mathematical tool for solving fuzzy fractional and integer q-differential equations. Finally, we have provided some examples illustrating our method.
引用
收藏
页码：2791 / 2846
页数：56
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