Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions
In this paper, the controllability of fuzzy solutions for first order nonlocal impulsive neutral functional differential equations is explored using the Banach fixed point theorem. We utilized the concepts of the fuzzy set theory, functional analysis, and the Hausdorff metric. In the conclusion, an...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-05-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/2/84 |
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| author | Falguni Acharya Vandana Kushawaha Jitendra Panchal Dimplekumar Chalishajar |
| author_facet | Falguni Acharya Vandana Kushawaha Jitendra Panchal Dimplekumar Chalishajar |
| author_sort | Falguni Acharya |
| collection | DOAJ |
| description | In this paper, the controllability of fuzzy solutions for first order nonlocal impulsive neutral functional differential equations is explored using the Banach fixed point theorem. We utilized the concepts of the fuzzy set theory, functional analysis, and the Hausdorff metric. In the conclusion, an illustration is given to bolster the hypothesis. |
| first_indexed | 2024-03-10T11:40:45Z |
| format | Article |
| id | doaj.art-c2f162d981854c06b07a3d9b25c88601 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T11:40:45Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-c2f162d981854c06b07a3d9b25c886012023-11-21T18:31:01ZengMDPI AGAxioms2075-16802021-05-011028410.3390/axioms10020084Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal ConditionsFalguni Acharya0Vandana Kushawaha1Jitendra Panchal2Dimplekumar Chalishajar3Department of Applied Sciences & Humanities, Parul Institute of Engineering and Technology, Parul University, Vadodara 391760, IndiaParul Institute of Applied Sciences, Parul University, Vadodara 391760, IndiaDepartment of Applied Sciences & Humanities, Parul Institute of Engineering and Technology, Parul University, Vadodara 391760, IndiaDepartment of Applied Mathematics, Virginia Military Institute, 435 Mallory Hall, Lexington, VA 24450, USAIn this paper, the controllability of fuzzy solutions for first order nonlocal impulsive neutral functional differential equations is explored using the Banach fixed point theorem. We utilized the concepts of the fuzzy set theory, functional analysis, and the Hausdorff metric. In the conclusion, an illustration is given to bolster the hypothesis.https://www.mdpi.com/2075-1680/10/2/84controllabilityfuzzy setfuzzy numberneutral impulsive differential equationfixed pointfuzzy solution |
| spellingShingle | Falguni Acharya Vandana Kushawaha Jitendra Panchal Dimplekumar Chalishajar Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions Axioms controllability fuzzy set fuzzy number neutral impulsive differential equation fixed point fuzzy solution |
| title | Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions |
| title_full | Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions |
| title_fullStr | Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions |
| title_full_unstemmed | Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions |
| title_short | Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions |
| title_sort | controllability of fuzzy solutions for neutral impulsive functional differential equations with nonlocal conditions |
| topic | controllability fuzzy set fuzzy number neutral impulsive differential equation fixed point fuzzy solution |
| url | https://www.mdpi.com/2075-1680/10/2/84 |
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