Boundary value problem of fractional fuzzy Volterra-Fredholm systems

Volume 36, Issue 4, pp 432--443 https://dx.doi.org/10.22436/jmcs.036.04.06
Publication Date: August 24, 2024 Submission Date: June 02, 2024 Revision Date: July 08, 2024 Accteptance Date: July 20, 2024

Authors

A‎. ‎J‎. ‎ Abdulqader - Department of Mathematics‎, ‎College of Education, ‎Al-Mustansiriyah University, Iraq. ‎R‎. ‎B‎. ‎ Abdulmaged - Department of Mathematics‎, ‎College of Education, ‎Al-Mustansiriyah University, Iraq.


Abstract

‎This paper investigates the suitable conditions for the uniqueness and existence results for a class of fuzzy fractional Caputo Volterra-Fredholm integro differential equations (FFCV-FIDEs) with boundary conditions‎. ‎The findings are based on Banach contraction principle and Schaefer's fixed point theorem‎. ‎Additionally‎, ‎the solution to the given problem is found using the Adomian decomposition technique (ADT)‎. ‎We support the concept with various instances‎. ‎The relationship between the lower and upper reduce approximations of the fuzzy solutions has been demonstrated numerically and graphically via MATLAB‎.


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ISRP Style

A‎. ‎J‎. ‎ Abdulqader, ‎R‎. ‎B‎. ‎ Abdulmaged, Boundary value problem of fractional fuzzy Volterra-Fredholm systems, Journal of Mathematics and Computer Science, 36 (2025), no. 4, 432--443

AMA Style

Abdulqader A‎. ‎J‎. ‎, Abdulmaged ‎R‎. ‎B‎. ‎, Boundary value problem of fractional fuzzy Volterra-Fredholm systems. J Math Comput SCI-JM. (2025); 36(4):432--443

Chicago/Turabian Style

Abdulqader, A‎. ‎J‎. ‎, Abdulmaged, ‎R‎. ‎B‎. ‎. "Boundary value problem of fractional fuzzy Volterra-Fredholm systems." Journal of Mathematics and Computer Science, 36, no. 4 (2025): 432--443


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