Title: On the existence and uniqueness results for intuitionistic fuzzy partial differential equations

Authors: Bouchra Ben Amma; Said Melliani; Lalla Saadia Chadli

Addresses: Laboratory of Applied Mathematics and Scientific Computing, Higher School of Education and Training, Sultan Moulay Slimane University, Beni Mellal, Morocco ' Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technologies, Sultan Moulay Slimane University, Beni Mellal, Morocco ' Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technologies, Sultan Moulay Slimane University, Beni Mellal, Morocco

Abstract: In this work, we have investigated the issue of the existence and uniqueness of intuitionistic fuzzy solutions for partial differential equations with local and nonlocal initial conditions using the Banach fixed point theorem based on a new complete intuitionistic fuzzy metric space. In addition, we have presented a method of steps to solve intuitionistic fuzzy partial differential equations. A computational example for our results is given with some numerical simulations of the solutions.

Keywords: partial differential equations; local and nonlocal conditions; intuitionistic fuzzy solutions.

DOI: 10.1504/IJDSDE.2023.129513

International Journal of Dynamical Systems and Differential Equations, 2023 Vol.13 No.1, pp.22 - 43

Accepted: 23 Feb 2022
Published online: 13 Mar 2023 *

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