Solution to a system of non-linear fuzzy differentialequation with generalized Hukuhara derivative viafixed point theore
In this manuscript, we define a new class of control functions classified as ascendant functions. Consequently, we furnish a fuzzy coupled fixed point result, that is different from one available in the literature, using the notion of simulation function; in follow, we validate the result through a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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ATNAA
2023-07-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://atnaea.org/index.php/journal/article/view/84/84 |
| _version_ | 1797248506094682112 |
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| author | Sushma BASİL Santhi ANTONY |
| author_facet | Sushma BASİL Santhi ANTONY |
| author_sort | Sushma BASİL |
| collection | DOAJ |
| description | In this manuscript, we define a new class of control functions classified as ascendant functions. Consequently, we furnish
a fuzzy coupled fixed point result, that is different from one available in the literature, using the notion of simulation function; in follow, we validate the result through a non-trivial example. As an inference, we use the result to analyze the existence of a solution for a non-linear system of fuzzy initial value problem involving generalized Hukuhara derivative. |
| first_indexed | 2024-04-24T20:15:40Z |
| format | Article |
| id | doaj.art-d458043e6dae40f1b165871dc1f76804 |
| institution | Directory Open Access Journal |
| issn | 2587-2648 |
| language | English |
| last_indexed | 2024-04-24T20:15:40Z |
| publishDate | 2023-07-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-d458043e6dae40f1b165871dc1f768042024-03-22T19:19:25ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482023-07-017247348510.31197/atnaa.232379Solution to a system of non-linear fuzzy differentialequation with generalized Hukuhara derivative viafixed point theoreSushma BASİL0Santhi ANTONY1PSGR Krishnammal College for Women, IndiaPSG College of Technology, Coimbatore-641 004, IndiaIn this manuscript, we define a new class of control functions classified as ascendant functions. Consequently, we furnish a fuzzy coupled fixed point result, that is different from one available in the literature, using the notion of simulation function; in follow, we validate the result through a non-trivial example. As an inference, we use the result to analyze the existence of a solution for a non-linear system of fuzzy initial value problem involving generalized Hukuhara derivative.https://atnaea.org/index.php/journal/article/view/84/84simulation functionfuzzy mappingsfuzzy coupled fixed pointfuzzy differential equation |
| spellingShingle | Sushma BASİL Santhi ANTONY Solution to a system of non-linear fuzzy differentialequation with generalized Hukuhara derivative viafixed point theore Advances in the Theory of Nonlinear Analysis and its Applications simulation function fuzzy mappings fuzzy coupled fixed point fuzzy differential equation |
| title | Solution to a system of non-linear fuzzy differentialequation with generalized Hukuhara derivative viafixed point theore |
| title_full | Solution to a system of non-linear fuzzy differentialequation with generalized Hukuhara derivative viafixed point theore |
| title_fullStr | Solution to a system of non-linear fuzzy differentialequation with generalized Hukuhara derivative viafixed point theore |
| title_full_unstemmed | Solution to a system of non-linear fuzzy differentialequation with generalized Hukuhara derivative viafixed point theore |
| title_short | Solution to a system of non-linear fuzzy differentialequation with generalized Hukuhara derivative viafixed point theore |
| title_sort | solution to a system of non linear fuzzy differentialequation with generalized hukuhara derivative viafixed point theore |
| topic | simulation function fuzzy mappings fuzzy coupled fixed point fuzzy differential equation |
| url | https://atnaea.org/index.php/journal/article/view/84/84 |
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