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

Authors :
Abdulqader, A. J.
Source :
Malaysian Journal of Mathematical Sciences. Sep2024, Vol. 18 Issue 3, p631-646. 16p.
Publication Year :
2024

Abstract

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 numerically and graphically using MATLAB. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
18238343
Volume :
18
Issue :
3
Database :
Academic Search Index
Journal :
Malaysian Journal of Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
180569426
Full Text :
https://doi.org/10.47836/mjms.18.3.11