Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 415
Numerical solution of the intuitionistic fuzzy nonlinear Volterra–Fredholm integro-differential equations by using Picard’s method
Zineb Belhallaj, M'Hamed Elomari, Said Melliani, Lalla Saadia Chadli
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2022
March 03, 2349
April 15, 2349

Abstract: In this paper, our main objective is to find the solution of the nonlinear Volterra-Fredholm integro-differential equation with intuitionistic fuzzy initial conditions under generalized H-differentiability, the existence and uniquness of intuitionistic fuzzy solutions for this problem are explored in a theorem, and we proved that the approximate solution converge to the exact solution, we also give an example to illustrate the efficiency of this method under generalized H-differentiability. The basic ideas of this approach should be used to solve the many intuitionistic fuzzy problems ...