Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions
Abstract We study the existence and uniqueness of solutions for coupled sequential fractional differential equations involving Caputo fractional derivative of order 1<α≤2 $1<\alpha \leq 2$ with integral boundary conditions. Moreover, we discuss Ulam–Hyers stability for the problem at hand....
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2115-6 |
| _version_ | 1818885291648221184 |
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| author | Nazim I. Mahmudov Areen Al-Khateeb |
| author_facet | Nazim I. Mahmudov Areen Al-Khateeb |
| author_sort | Nazim I. Mahmudov |
| collection | DOAJ |
| description | Abstract We study the existence and uniqueness of solutions for coupled sequential fractional differential equations involving Caputo fractional derivative of order 1<α≤2 $1<\alpha \leq 2$ with integral boundary conditions. Moreover, we discuss Ulam–Hyers stability for the problem at hand. |
| first_indexed | 2024-12-19T16:03:07Z |
| format | Article |
| id | doaj.art-33f631a74deb4593b1a6f0cd778e639c |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-19T16:03:07Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-33f631a74deb4593b1a6f0cd778e639c2022-12-21T20:14:53ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-06-012019111510.1186/s13660-019-2115-6Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditionsNazim I. Mahmudov0Areen Al-Khateeb1Department of Mathematics, Eastern Mediterranean UniversityDepartment of Mathematics, Eastern Mediterranean UniversityAbstract We study the existence and uniqueness of solutions for coupled sequential fractional differential equations involving Caputo fractional derivative of order 1<α≤2 $1<\alpha \leq 2$ with integral boundary conditions. Moreover, we discuss Ulam–Hyers stability for the problem at hand.http://link.springer.com/article/10.1186/s13660-019-2115-6Fractional differential equationsMixed boundary value problemFixed point theorem |
| spellingShingle | Nazim I. Mahmudov Areen Al-Khateeb Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions Journal of Inequalities and Applications Fractional differential equations Mixed boundary value problem Fixed point theorem |
| title | Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions |
| title_full | Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions |
| title_fullStr | Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions |
| title_full_unstemmed | Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions |
| title_short | Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions |
| title_sort | existence and ulam hyers stability of coupled sequential fractional differential equations with integral boundary conditions |
| topic | Fractional differential equations Mixed boundary value problem Fixed point theorem |
| url | http://link.springer.com/article/10.1186/s13660-019-2115-6 |
| work_keys_str_mv | AT nazimimahmudov existenceandulamhyersstabilityofcoupledsequentialfractionaldifferentialequationswithintegralboundaryconditions AT areenalkhateeb existenceandulamhyersstabilityofcoupledsequentialfractionaldifferentialequationswithintegralboundaryconditions |