ψ-Caputo Type Time-Delay Langevin Equations With Two General Fractional Orders
| dc.authorid | Aydin, Mustafa/0000-0003-0132-9636 | |
| dc.authorscopusid | 57206729270 | |
| dc.authorscopusid | 6602720278 | |
| dc.authorwosid | Mahmudov, Nazim/G-4029-2013 | |
| dc.authorwosid | Aydin, Mustafa/Abd-6124-2020 | |
| dc.contributor.author | Aydin, Mustafa | |
| dc.contributor.author | Mahmudov, Nazim I. | |
| dc.date.accessioned | 2025-05-10T17:22:15Z | |
| dc.date.available | 2025-05-10T17:22:15Z | |
| dc.date.issued | 2023 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Aydin, Mustafa; Mahmudov, Nazim I.] Istanbul Tech Univ, Dept Math, Istanbul, Turkiye; [Aydin, Mustafa] Eastern Mediterranean Univ, Dept Math, TR North Cyprus, Famagusta, Turkiye; [Aydin, Mustafa] Van Yuzuncu Yil Univ, Muradiye Vocat Sch, Dept Med Serv & Tech, Van, Turkiye | en_US |
| dc.description | Aydin, Mustafa/0000-0003-0132-9636 | en_US |
| dc.description.abstract | In the present paper, first, a Psi-delayed Mittag-Leffler type function is introduced, which generalizes the existing delayed Mittag-Leffler type function. Second, by means of Psi-delayed Mittag-Leffler type function, an exact analytical solution formula to non-homogeneous linear delayed Langevin equations involving two distinct Psi-Caputo type fractional derivatives of general orders is obtained. Moreover, existence and uniqueness, stability of solution to nonlinear delayed Langevin fractional differential equations is obtained in the weighted space. Numerical and simulated examples are shared to exemplify the theoretical findings. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1002/mma.9047 | |
| dc.identifier.endpage | 9204 | en_US |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.issue | 8 | en_US |
| dc.identifier.scopus | 2-s2.0-85147260924 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 9187 | en_US |
| dc.identifier.uri | https://doi.org/10.1002/mma.9047 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/10525 | |
| dc.identifier.volume | 46 | en_US |
| dc.identifier.wos | WOS:000923333600001 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | An Explicit Solution | en_US |
| dc.subject | Existence Uniqueness | en_US |
| dc.subject | Ulam-Hyers Stability | en_US |
| dc.subject | ?-Fractional Langevin Equation | en_US |
| dc.subject | ?-Delayed Mittag-Leffler Function | en_US |
| dc.title | ψ-Caputo Type Time-Delay Langevin Equations With Two General Fractional Orders | en_US |
| dc.type | Article | en_US |