Document Type : Research Paper
Authors
1 Laboratory of Applied Mathematics and Scientific Computing, École Normale Supérieure, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco.
2 Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technologies, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco.
Abstract
In this research work, we investigate novel findings concerning the existence and uniqueness of intuitionistic fuzzy solutions for state-dependent delay intuitionistic fuzzy partial functional differential equations with local initial conditions in a new weighted intuitionistic fuzzy complete metric space under suitable assumptions. The main results of this paper are based on the Banach fixed point theorem. An illustrated example of our results is given with some numerical simulations for $\beta$-cuts of the intuitionistic fuzzy solutions.
Keywords
- Partial functional Differential Equations
- State-Dependent Delay
- Local Conditions
- Fixed Point
- Intuitionistic Fuzzy Solutions
Main Subjects
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