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Issue:Existence and uniqueness of intuitionistic fuzzy solution for semilinear intuitionistic fuzzy integro-differential equations with nonlocal conditions

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Title of paper: Existence and uniqueness of intuitionistic fuzzy solution for semilinear intuitionistic fuzzy integro-differential equations with nonlocal conditions
Author(s):
Zineb Belhallaj
LMACS, Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
zineb.belhallaj@gmail.com
M'hamed Elomari
LMACS, Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
m.elomari@usms.ma
Said Melliani
LMACS, Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
s.melliani@yahoo.fr
Lalla Saadia Chadli
LMACS, Laboratory of Applied Mathematics and Scientific Computing Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
sa.chadli@yahoo.fr
Presented at: 25th ICIFS, Sofia, 9—10 September 2022
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 3, pages 259–270
DOI: https://doi.org/10.7546/nifs.2022.28.3.259-270
Download:  PDF (203  Kb, Info)
Abstract: n this paper, we study the existence and uniqueness of an intuitionistic fuzzy solution for semi-linear intuitionistic fuzzy integro-differential equations with non-local conditions using the Banach fixed point theorem. Theorem on the existence and uniqueness of intuitionistic fuzzy solution for these problems with nonlocal conditions are presented under certain assumptions. Finally, an example is established to illustrate the effectiveness of this theorem.
Keywords: Intuitionistic fuzzy number, Intuitionistic fuzzy integro-differential equation, Intuitionistic fuzzy solution, Banach fixed point theorem.
AMS Classification: 03E72, 08A72.
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