Ulam's stability of conformable neutral fractional differential equations
This article is concerned with the existence and uniqueness of solutions of a nonlinear neutral conformable fractional differential system with infinite delay, involving conformable fractional derivative. Additionally, we study the Ulam--Hyres stability, Ulam--Hyres--Mittag--Leffler stability, Ulam...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51442 |
| _version_ | 1797633601894875136 |
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| author | Manzoor Ahmad Akbar Zada |
| author_facet | Manzoor Ahmad Akbar Zada |
| author_sort | Manzoor Ahmad |
| collection | DOAJ |
| description |
This article is concerned with the existence and uniqueness of solutions of a nonlinear neutral conformable fractional differential system with infinite delay, involving conformable fractional derivative. Additionally, we study the Ulam--Hyres stability, Ulam--Hyres--Mittag--Leffler stability, Ulam--Hyres--Mittag--Leffler--Rassias stability for the solutions of considered system using Picard operator. For application of the theory, we add an example at the end.
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| first_indexed | 2024-03-11T11:56:12Z |
| format | Article |
| id | doaj.art-cc87ed23169b4a6cb47e3e7fb7883423 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:56:12Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-cc87ed23169b4a6cb47e3e7fb78834232023-11-08T19:14:02ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.51442Ulam's stability of conformable neutral fractional differential equationsManzoor Ahmad0Akbar Zada1University of PeshawarUniversity of Peshawar This article is concerned with the existence and uniqueness of solutions of a nonlinear neutral conformable fractional differential system with infinite delay, involving conformable fractional derivative. Additionally, we study the Ulam--Hyres stability, Ulam--Hyres--Mittag--Leffler stability, Ulam--Hyres--Mittag--Leffler--Rassias stability for the solutions of considered system using Picard operator. For application of the theory, we add an example at the end. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51442 |
| spellingShingle | Manzoor Ahmad Akbar Zada Ulam's stability of conformable neutral fractional differential equations Boletim da Sociedade Paranaense de Matemática |
| title | Ulam's stability of conformable neutral fractional differential equations |
| title_full | Ulam's stability of conformable neutral fractional differential equations |
| title_fullStr | Ulam's stability of conformable neutral fractional differential equations |
| title_full_unstemmed | Ulam's stability of conformable neutral fractional differential equations |
| title_short | Ulam's stability of conformable neutral fractional differential equations |
| title_sort | ulam s stability of conformable neutral fractional differential equations |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51442 |
| work_keys_str_mv | AT manzoorahmad ulamsstabilityofconformableneutralfractionaldifferentialequations AT akbarzada ulamsstabilityofconformableneutralfractionaldifferentialequations |