A new generalized Laplace transform and its applications to fractional Bagley-Torvik and fractional harmonic vibration problems
Yazarlar (2)
Enes Ata Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Miskolc Mathematical Notes (Q2) | ||
| Dergi ISSN | 1787-2405 Dergi Bilgileri (2023) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 04-2023 |
| Cilt / Sayı / Sayfa | 24 / 2 / 597–610 | DOI | 10.18514/MMN.2023.4099 |
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this paper, a new generalized Laplace transform is defined and its certain properties are given. By using the new transform, the solutions of fractional Bagley-Torvik and fractional harmonic vibration problems are obtained, as application. Also transformations of some elementary functions and the relationships between the new transform with other generalized Laplace transforms are given in separate tables. |
| Anahtar Kelimeler |
| Caputo fractional derivative | fractional order differential equations | generalized inverse Laplace transform | generalized Laplace transform |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 4 |
| Scopus | 7 |