On Fuzzy Differential Inequalities with Upper and Lower Solutions
In this article, by using the technique of upper and lower solutions, some comparison results for first-order fuzzy differential equations are established. Hukuhara derivative, Hukuhara difference, and partial orderings are used for proving theorems. We extend our results to initial time difference...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Naim Çağman
2021-12-01
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| Series: | Journal of New Theory |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/2123103 |
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| _version_ | 1850079833828098048 |
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| author | Ali Yakar Seda Çağlak |
| author_facet | Ali Yakar Seda Çağlak |
| author_sort | Ali Yakar |
| collection | DOAJ |
| description | In this article, by using the technique of upper and lower solutions, some comparison results for first-order fuzzy differential equations are established. Hukuhara derivative, Hukuhara difference, and partial orderings are used for proving theorems. We extend our results to initial time difference case as well. Also, the practicality of these comparison results is demonstrated by giving an example. |
| format | Article |
| id | doaj-art-8b1d4de6243c40b3b7d3df313f3cdc28 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-8b1d4de6243c40b3b7d3df313f3cdc282025-08-20T02:45:06ZengNaim ÇağmanJournal of New Theory2149-14022021-12-0137687510.53570/jnt.10344522425On Fuzzy Differential Inequalities with Upper and Lower SolutionsAli Yakar0https://orcid.org/0000-0003-1160-577XSeda Çağlak1https://orcid.org/0000-0003-3888-211XTOKAT GAZİOSMANPAŞA ÜNİVERSİTESİGaziosmanpaşa ÜniversitesiIn this article, by using the technique of upper and lower solutions, some comparison results for first-order fuzzy differential equations are established. Hukuhara derivative, Hukuhara difference, and partial orderings are used for proving theorems. We extend our results to initial time difference case as well. Also, the practicality of these comparison results is demonstrated by giving an example.https://dergipark.org.tr/en/download/article-file/2123103fuzzy numberupper and lower solutionshukuhara derivative |
| spellingShingle | Ali Yakar Seda Çağlak On Fuzzy Differential Inequalities with Upper and Lower Solutions Journal of New Theory fuzzy number upper and lower solutions hukuhara derivative |
| title | On Fuzzy Differential Inequalities with Upper and Lower Solutions |
| title_full | On Fuzzy Differential Inequalities with Upper and Lower Solutions |
| title_fullStr | On Fuzzy Differential Inequalities with Upper and Lower Solutions |
| title_full_unstemmed | On Fuzzy Differential Inequalities with Upper and Lower Solutions |
| title_short | On Fuzzy Differential Inequalities with Upper and Lower Solutions |
| title_sort | on fuzzy differential inequalities with upper and lower solutions |
| topic | fuzzy number upper and lower solutions hukuhara derivative |
| url | https://dergipark.org.tr/en/download/article-file/2123103 |
| work_keys_str_mv | AT aliyakar onfuzzydifferentialinequalitieswithupperandlowersolutions AT sedacaglak onfuzzydifferentialinequalitieswithupperandlowersolutions |