The Existence and Uniqueness of Intuitionistic Fuzzy Solutions for Intuitionistic Fuzzy Partial Functional Differential Equations
Joint Authors
Melliani, Said
Chadli, Lalla Saadia
Ben Amma, Bouchra
Source
International Journal of Differential Equations
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-21
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ben Amma, Bouchra& Melliani, Said& Chadli, Lalla Saadia. 2019. The Existence and Uniqueness of Intuitionistic Fuzzy Solutions for Intuitionistic Fuzzy Partial Functional Differential Equations. International Journal of Differential Equations،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1159217
Modern Language Association (MLA)
Ben Amma, Bouchra…[et al.]. The Existence and Uniqueness of Intuitionistic Fuzzy Solutions for Intuitionistic Fuzzy Partial Functional Differential Equations. International Journal of Differential Equations No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1159217
American Medical Association (AMA)
Ben Amma, Bouchra& Melliani, Said& Chadli, Lalla Saadia. The Existence and Uniqueness of Intuitionistic Fuzzy Solutions for Intuitionistic Fuzzy Partial Functional Differential Equations. International Journal of Differential Equations. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1159217
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1159217