Yazarlar |
Enes Ata
|
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye |
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 |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | Miskolc Mathematical Notes |
Dergi ISSN | 1787-2405 |
Dergi Tarandığı Indeksler | SCI-Expanded |
Dergi Grubu | Q2 |
Makale Dili | Türkçe |
Basım Tarihi | 04-2023 |
Cilt No | 24 |
Sayı | 2 |
Sayfalar | 597 / 610 |
Doi Numarası | 10.18514/MMN.2023.4099 |