On the existence and uniqueness results for intuitionistic fuzzy partial differential equations Online publication date: Mon, 13-Mar-2023
by Bouchra Ben Amma; Said Melliani; Lalla Saadia Chadli
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 13, No. 1, 2023
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.
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