New Results for Some Intuitionistic Fuzzy Partial Functional Differential Equations with State-Dependent Delay
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...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_709665_03ba90eefa2637142652e27d58c9e76d.pdf |
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| _version_ | 1823859393649704960 |
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| author | Bouchra Ben Amma Said Melliani Lalla Saadia Chadli |
| author_facet | Bouchra Ben Amma Said Melliani Lalla Saadia Chadli |
| author_sort | Bouchra Ben Amma |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-51f1c6e0dbe445b98ad9a6c8a500c0ed |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-51f1c6e0dbe445b98ad9a6c8a500c0ed2025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121225127410.22130/scma.2023.1999306.1285709665New Results for Some Intuitionistic Fuzzy Partial Functional Differential Equations with State-Dependent DelayBouchra Ben Amma0Said Melliani1Lalla Saadia Chadli2Laboratory of Applied Mathematics and Scientific Computing, École Normale Supérieure, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco.Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technologies, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco.Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technologies, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco.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.https://scma.maragheh.ac.ir/article_709665_03ba90eefa2637142652e27d58c9e76d.pdfpartial functional differential equationsstate-dependent delaylocal conditionsfixed pointintuitionistic fuzzy solutions |
| spellingShingle | Bouchra Ben Amma Said Melliani Lalla Saadia Chadli New Results for Some Intuitionistic Fuzzy Partial Functional Differential Equations with State-Dependent Delay Sahand Communications in Mathematical Analysis partial functional differential equations state-dependent delay local conditions fixed point intuitionistic fuzzy solutions |
| title | New Results for Some Intuitionistic Fuzzy Partial Functional Differential Equations with State-Dependent Delay |
| title_full | New Results for Some Intuitionistic Fuzzy Partial Functional Differential Equations with State-Dependent Delay |
| title_fullStr | New Results for Some Intuitionistic Fuzzy Partial Functional Differential Equations with State-Dependent Delay |
| title_full_unstemmed | New Results for Some Intuitionistic Fuzzy Partial Functional Differential Equations with State-Dependent Delay |
| title_short | New Results for Some Intuitionistic Fuzzy Partial Functional Differential Equations with State-Dependent Delay |
| title_sort | new results for some intuitionistic fuzzy partial functional differential equations with state dependent delay |
| topic | partial functional differential equations state-dependent delay local conditions fixed point intuitionistic fuzzy solutions |
| url | https://scma.maragheh.ac.ir/article_709665_03ba90eefa2637142652e27d58c9e76d.pdf |
| work_keys_str_mv | AT bouchrabenamma newresultsforsomeintuitionisticfuzzypartialfunctionaldifferentialequationswithstatedependentdelay AT saidmelliani newresultsforsomeintuitionisticfuzzypartialfunctionaldifferentialequationswithstatedependentdelay AT lallasaadiachadli newresultsforsomeintuitionisticfuzzypartialfunctionaldifferentialequationswithstatedependentdelay |