Existence Results for Fractional Integral Equations in Frechet Spaces
The objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Fr\'{e}chet spaces of Banach space-valued functions on the unbounded interval. Our main tool is the technique of measures of noncompactness and fixed points theorems.
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| Format: | Article |
| Language: | English |
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Mahmut Akyigit
2022-12-01
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| Series: | Journal of Mathematical Sciences and Modelling |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/2199638 |
| _version_ | 1797352483503210496 |
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| author | Said Baghdad |
| author_facet | Said Baghdad |
| author_sort | Said Baghdad |
| collection | DOAJ |
| description | The objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Fr\'{e}chet spaces of Banach space-valued functions on the unbounded interval. Our main tool is the technique of measures of noncompactness and fixed points theorems. |
| first_indexed | 2024-03-08T13:16:13Z |
| format | Article |
| id | doaj.art-496a317bbe5f4b82a15214c3f6acbbf5 |
| institution | Directory Open Access Journal |
| issn | 2636-8692 |
| language | English |
| last_indexed | 2024-03-08T13:16:13Z |
| publishDate | 2022-12-01 |
| publisher | Mahmut Akyigit |
| record_format | Article |
| series | Journal of Mathematical Sciences and Modelling |
| spelling | doaj.art-496a317bbe5f4b82a15214c3f6acbbf52024-01-18T06:19:27ZengMahmut AkyigitJournal of Mathematical Sciences and Modelling2636-86922022-12-015310511210.33187/jmsm.10597161408Existence Results for Fractional Integral Equations in Frechet SpacesSaid Baghdad0Ibn khaldounThe objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Fr\'{e}chet spaces of Banach space-valued functions on the unbounded interval. Our main tool is the technique of measures of noncompactness and fixed points theorems.https://dergipark.org.tr/tr/download/article-file/2199638fixed-point theoremsfrechet spaceshadamard--volterra--stieltjes integral equationsmeasure of noncompactness |
| spellingShingle | Said Baghdad Existence Results for Fractional Integral Equations in Frechet Spaces Journal of Mathematical Sciences and Modelling fixed-point theorems frechet spaces hadamard--volterra--stieltjes integral equations measure of noncompactness |
| title | Existence Results for Fractional Integral Equations in Frechet Spaces |
| title_full | Existence Results for Fractional Integral Equations in Frechet Spaces |
| title_fullStr | Existence Results for Fractional Integral Equations in Frechet Spaces |
| title_full_unstemmed | Existence Results for Fractional Integral Equations in Frechet Spaces |
| title_short | Existence Results for Fractional Integral Equations in Frechet Spaces |
| title_sort | existence results for fractional integral equations in frechet spaces |
| topic | fixed-point theorems frechet spaces hadamard--volterra--stieltjes integral equations measure of noncompactness |
| url | https://dergipark.org.tr/tr/download/article-file/2199638 |
| work_keys_str_mv | AT saidbaghdad existenceresultsforfractionalintegralequationsinfrechetspaces |