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New generalized Mellin transform and applications to partial and fractional differential equations    
Yazarlar (2)
Enes Ata
Prof. Dr. İsmail Onur KIYMAZ Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Devamını Göster
Özet
In this paper, we introduce a generalized Mellin transformation in a general form that encompasses the generalized Mellin transformations found in the literature. Then, we give the fundamental properties of this new integral transformation and apply it to some elementary functions. Furthermore, we obtain the solutions of partial and fractional differential equations by means of this new integral transformation. Finally, we examine the relations between generalized Mellin transformations in the literature and the new generalized Mellin transformation and present a table showing the new integral transformations of functions commonly used in mathematics, physics and engineering applications.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü Diğer hakemli uluslarası dergilerde yayınlanan tam makale
Dergi Adı International Journal of Mathematics and Computer in Engineering
Dergi ISSN 1304-7981
Dergi Tarandığı Indeksler Scilit
Makale Dili İngilizce
Basım Tarihi 06-2023
Cilt No 1
Sayı 1
Sayfalar 1 / 21
Doi Numarası 10.2478/ijmce-2023-0004
Makale Linki https://sciendo.com/article/10.2478/ijmce-2023-0004