Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative
In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative. We applied the Perov-type fixed point theorem to prove...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7275934 |
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| _version_ | 1832566385615568896 |
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| author | Leila Sajedi Nasrin Eghbali Hassen Aydi |
| author_facet | Leila Sajedi Nasrin Eghbali Hassen Aydi |
| author_sort | Leila Sajedi |
| collection | DOAJ |
| description | In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative. We applied the Perov-type fixed point theorem to prove the existence and uniqueness of the proposed system. Furthermore, the Ulam–Hyers–Rassias stability and Ulam–Hyers–Rassias–Mittag-Leffler’s stability results for the given system are discussed. |
| format | Article |
| id | doaj-art-0775599b6a33482684b109e49c924849 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0775599b6a33482684b109e49c9248492025-02-03T01:04:17ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/72759347275934Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional DerivativeLeila Sajedi0Nasrin Eghbali1Hassen Aydi2Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367 Ardabil, IranDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367 Ardabil, IranUniversité de Sousse, Institut Supérieur D’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaIn this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative. We applied the Perov-type fixed point theorem to prove the existence and uniqueness of the proposed system. Furthermore, the Ulam–Hyers–Rassias stability and Ulam–Hyers–Rassias–Mittag-Leffler’s stability results for the given system are discussed.http://dx.doi.org/10.1155/2021/7275934 |
| spellingShingle | Leila Sajedi Nasrin Eghbali Hassen Aydi Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative Journal of Mathematics |
| title | Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative |
| title_full | Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative |
| title_fullStr | Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative |
| title_full_unstemmed | Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative |
| title_short | Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative |
| title_sort | impulsive coupled system of fractional differential equations with caputo katugampola fuzzy fractional derivative |
| url | http://dx.doi.org/10.1155/2021/7275934 |
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