Non-Instantaneous Impulsive Fractional-Order Delay Differential Systems With Mittag-Leffler Kernel
| dc.contributor.author | Arjunan, Mani Mallika | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kavitha, Velusamy | |
| dc.date.accessioned | 2024-04-25T07:43:53Z | |
| dc.date.accessioned | 2025-09-18T12:06:12Z | |
| dc.date.available | 2024-04-25T07:43:53Z | |
| dc.date.available | 2025-09-18T12:06:12Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | The existence of fractional-order functional differential equations with non-instantaneous impulses within the Mittag-Leffler kernel is examined in this manuscript. Non-instantaneous impulses are involved in such equations and the solution semigroup is not compact in Banach spaces. We suppose that the nonlinear term fulfills a non-compactness measure criterion and a local growth constraint. We further assume that non-instantaneous impulsive functions satisfy specific Lipschitz criteria. Finally, an example is given to justify the theoretical results. | en_US |
| dc.identifier.citation | Kavitha, Velusamy; Arjunan, Mani Mallika; Baleanu, Dumitru. (2022). "Non-instantaneous impulsive fractional-order delay differential systems with Mittag-Leffler kernel", AIMS Mathematics, Vol.7, No.5, pp.9353-9372. | en_US |
| dc.identifier.doi | 10.3934/math.2022519 | |
| dc.identifier.issn | 2473-6988 | |
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| dc.identifier.uri | https://doi.org/10.3934/math.2022519 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10843 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Atangana-Baleanu Fractional Derivative | en_US |
| dc.subject | Non-Instantaneous Impulses | en_US |
| dc.subject | Mittag-Leffler Kernel | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.title | Non-Instantaneous Impulsive Fractional-Order Delay Differential Systems With Mittag-Leffler Kernel | en_US |
| dc.title | Non-instantaneous impulsive fractional-order delay differential systems with Mittag-Leffler kernel | tr_TR |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kavitha, Velusamy] Karunya Inst Technol & Sci, Sch Sci Arts Media & Management, Dept Math, Coimbatore 641114, Tamil Nadu, India; [Arjunan, Mani Mallika] SASTRA Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur 613401, Tamil Nadu, India; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 9372 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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