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A new generalized Laplace transform and its applications to fractional Bagley-Torvik and fractional harmonic vibration problems     
Yazarlar
Enes Ata
Prof. Dr. İsmail Onur KIYMAZ 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