A Solution for Volterra Fractional Integral Equations by Hybrid Contractions
In this manuscript, we propose a solution for Volterra type fractional integral equations by using a hybrid type contraction that unifies both nonlinear and linear type inequalities in the context of metric spaces. Besides this main goal, we also aim to combine and merge several existing fixed point...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/8/694 |
| _version_ | 1818057826322350080 |
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| author | Badr Alqahtani Hassen Aydi Erdal Karapınar Vladimir Rakočević |
| author_facet | Badr Alqahtani Hassen Aydi Erdal Karapınar Vladimir Rakočević |
| author_sort | Badr Alqahtani |
| collection | DOAJ |
| description | In this manuscript, we propose a solution for Volterra type fractional integral equations by using a hybrid type contraction that unifies both nonlinear and linear type inequalities in the context of metric spaces. Besides this main goal, we also aim to combine and merge several existing fixed point theorems that were formulated by linear and nonlinear contractions. |
| first_indexed | 2024-12-10T12:50:54Z |
| format | Article |
| id | doaj.art-157221c6af2b43339d89d36adeaef45c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-10T12:50:54Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-157221c6af2b43339d89d36adeaef45c2022-12-22T01:48:15ZengMDPI AGMathematics2227-73902019-08-017869410.3390/math7080694math7080694A Solution for Volterra Fractional Integral Equations by Hybrid ContractionsBadr Alqahtani0Hassen Aydi1Erdal Karapınar2Vladimir Rakočević3Department of Mathematics, King Saud University, Riyadh 11451, Saudi ArabiaInstitut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, TunisiaChina Medical University Hospital, China Medical University, Taichung 40402, TaiwanFaculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, SerbiaIn this manuscript, we propose a solution for Volterra type fractional integral equations by using a hybrid type contraction that unifies both nonlinear and linear type inequalities in the context of metric spaces. Besides this main goal, we also aim to combine and merge several existing fixed point theorems that were formulated by linear and nonlinear contractions.https://www.mdpi.com/2227-7390/7/8/694contractionhybrid contractionsvolterra fractional integral equationsfixed point |
| spellingShingle | Badr Alqahtani Hassen Aydi Erdal Karapınar Vladimir Rakočević A Solution for Volterra Fractional Integral Equations by Hybrid Contractions Mathematics contraction hybrid contractions volterra fractional integral equations fixed point |
| title | A Solution for Volterra Fractional Integral Equations by Hybrid Contractions |
| title_full | A Solution for Volterra Fractional Integral Equations by Hybrid Contractions |
| title_fullStr | A Solution for Volterra Fractional Integral Equations by Hybrid Contractions |
| title_full_unstemmed | A Solution for Volterra Fractional Integral Equations by Hybrid Contractions |
| title_short | A Solution for Volterra Fractional Integral Equations by Hybrid Contractions |
| title_sort | solution for volterra fractional integral equations by hybrid contractions |
| topic | contraction hybrid contractions volterra fractional integral equations fixed point |
| url | https://www.mdpi.com/2227-7390/7/8/694 |
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