TY - JOUR A2 - GinĂ©, Jaume AU - Ben Amma, Bouchra AU - Melliani, Said AU - Chadli, Lalla Saadia PY - 2019 DA - 2019/07/21 TI - The Existence and Uniqueness of Intuitionistic Fuzzy Solutions for Intuitionistic Fuzzy Partial Functional Differential Equations SP - 9210641 VL - 2019 AB - In this paper, we consider intuitionistic fuzzy partial functional differential equations with local and nonlocal initial conditions using the Banach fixed point theorem. A new complete intuitionistic fuzzy metric space is proposed to investigate the existence and uniqueness of intuitionistic fuzzy solutions for these problems. We use the level-set representation of intuitionistic fuzzy functions and define the solution to an intuitionistic fuzzy partial functional differential equation problem through a corresponding parametric problem and further develop theoretical results on the existence and uniqueness of the solution. An example is presented to illustrate the results with some numerical simulation for α-cuts of the intuitionistic fuzzy solutions: we give the representation of the surface of intuitionistic fuzzy solutions. SN - 1687-9643 UR - https://doi.org/10.1155/2019/9210641 DO - 10.1155/2019/9210641 JF - International Journal of Differential Equations PB - Hindawi KW - ER -