A New Existence Results on Fractional Differential Inclusions With State-Dependent Delay and Mittag-Leffler Kernel in Banach Space
| dc.contributor.author | Kavitha, Velusamy | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Arjunan, Mani Mallika | |
| dc.date.accessioned | 2024-02-09T11:41:11Z | |
| dc.date.accessioned | 2025-09-18T12:09:24Z | |
| dc.date.available | 2024-02-09T11:41:11Z | |
| dc.date.available | 2025-09-18T12:09:24Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this manuscript the existence of the fractional-order functional differential inclusions [FFDI] with state-dependent delay [SDD] is investigated within the Mittag-Leffler kernel. We use both contractive and condensing maps to prove the existence of mild solutions through solution operator. Finally, an example is presented to illustrate the theoretical findings. | en_US |
| dc.identifier.citation | Arjunan, Mani Mallika; Kavitha, Velusamy; Baleanu, D. (2022). " A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space", Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, Vol.30, No.2, pp.5-24. | en_US |
| dc.identifier.doi | 10.2478/auom-2022-0016 | |
| dc.identifier.issn | 1224-1784 | |
| dc.identifier.issn | 1844-0835 | |
| dc.identifier.uri | https://doi.org/10.2478/auom-2022-0016 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11400 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ovidius Univ Press | en_US |
| dc.relation.ispartof | Analele Universitatii "Ovidius" Constanta - Seria Matematica | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | A-B Fractional-Order Derivative | en_US |
| dc.subject | Mild Solution | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.title | A New Existence Results on Fractional Differential Inclusions With State-Dependent Delay and Mittag-Leffler Kernel in Banach Space | en_US |
| dc.title | A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Arjunan, Mani Mallika] SASTRA Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur 613401, Tamil Nadu, India; [Kavitha, Velusamy] Karunya Inst Technol & Sci, Sch Sci Arts Media & Management, Dept Math, Coimbatore 641114, Tamil Nadu, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 24 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 5 | en_US |
| gdc.description.volume | 30 | en_US |
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| gdc.oaire.keywords | secondary 34a60 | |
| gdc.oaire.keywords | mild solution | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | fixed point theorem | |
| gdc.oaire.keywords | a-b fractional-order derivative | |
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