A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation
In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms b...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-01-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2016-0019 |
| _version_ | 1818730721777287168 |
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| author | Eghbali Nasrin Kalvandi Vida Rassias John M. |
| author_facet | Eghbali Nasrin Kalvandi Vida Rassias John M. |
| author_sort | Eghbali Nasrin |
| collection | DOAJ |
| description | In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms by two notions. |
| first_indexed | 2024-12-17T23:06:17Z |
| format | Article |
| id | doaj.art-3172232c69df49fd9fddf07c8aa591de |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-17T23:06:17Z |
| publishDate | 2016-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-3172232c69df49fd9fddf07c8aa591de2022-12-21T21:29:16ZengDe GruyterOpen Mathematics2391-54552016-01-0114123724610.1515/math-2016-0019math-2016-0019A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equationEghbali Nasrin0Kalvandi Vida1Rassias John M.2Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran (Islamic Republic of), eghbali@uma.ac.irDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran (Islamic Republic of), eghbali@uma.ac.irPedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4 Agamemnonos Str., Aghia Paraskevi, Athens 15342, Greece, Ioannis.Rassias@primedu.uoa.grIn this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms by two notions.https://doi.org/10.1515/math-2016-0019fractional order delay integral equationmittag-leffler-hyers-ulam stabilitychebyshev normbielecki norm26a3334d1045n05 |
| spellingShingle | Eghbali Nasrin Kalvandi Vida Rassias John M. A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation Open Mathematics fractional order delay integral equation mittag-leffler-hyers-ulam stability chebyshev norm bielecki norm 26a33 34d10 45n05 |
| title | A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation |
| title_full | A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation |
| title_fullStr | A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation |
| title_full_unstemmed | A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation |
| title_short | A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation |
| title_sort | fixed point approach to the mittag leffler hyers ulam stability of a fractional integral equation |
| topic | fractional order delay integral equation mittag-leffler-hyers-ulam stability chebyshev norm bielecki norm 26a33 34d10 45n05 |
| url | https://doi.org/10.1515/math-2016-0019 |
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