Generalized derivatives and Laplace transform in(k, ? ) Hilfer form

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Küçük Resim

Tarih

2023

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.