Generalized derivatives and Laplace transform in(k, ? ) Hilfer form
Yükleniyor...
Dosyalar
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we discuss the most generalized derivatives and integrals and their features in (k, psi)-Hilfer form. Furthermore, we define the new generalized Laplace transform to the generalized derivatives and integrals in (k, psi)-Hilfer form. Also, we have obtained the new generalized Laplace transforms of some expressions. These statements obtained cover many previous studies. Finally, we have given an example that will both use some of the results obtained and emphasize the importance of parameters such ask, rho, psi of the (k, psi)-generalized Laplace transform.
Açıklama
Anahtar Kelimeler
Generalized Fractional Derivatives, Generalized Fractional Integrals, Generalized Laplace Transforms, (k,ψ)‐ Hilfer Form, k-Mittag-Leffler Function, k-Pochhammer Symbol
Kaynak
Mathematical Methods in the Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
46
Sayı
9
Künye
Başcı, Y., Mısır, A., & Öğrekçi, S. (2023). Generalized derivatives and Laplace transform in (k, ψ)‐Hilfer form. Mathematical Methods in the Applied Sciences, 46(9), 10400-10420.