On Fuzzy Fractional Volterra-Fredholm Model Under the Uncertainty θ-Operator of the AD Technique: Theorems and Applications

被引:0
|
作者
Abdulqader, A. j [1 ]
机构
[1] Al Mustansiriyah Univ, Coll Educ, Dept Math, Baghdad, Iraq
来源
关键词
Volterra-Fredholm equation; Caputo fractional derivative; fixed point technique; ADT; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL-SOLUTION; ORDER;
D O I
10.47836/mjms.18.3.11
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article investigates the proper existence conditions and uniqueness results for a class of fuzzy fractional Caputo Volterra-Fredholm integro-differential equations (FFCV-FIDE) with initial conditions. The findings are based on Banach's contraction principle and Schaefer's fixed point theorem. Furthermore, the solution to the posed problem is found using the Adomian decomposition technique (ADT). We support the concept with several examples. The relationship between the upper and lower reduced approximation of the fuzzy solutions was demonstrated and MATLAB.
引用
收藏
页码:631 / 646
页数:16
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