Conformable derivative: A derivative associated to the Riemann-Stieltjes integral
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Natural Sciences Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In mathematics, the Riemann-Stieltjes integral (Formula Presented) is known to be the more general version of the well-known Riemann integral that is used in classical integral calculus. This integral has found application in several fields. However, there is no clear derivative associate to the generalized integral, except the concept of global derivative that was suggested very recently. Nevertheless, a more generalized differential operator called conformable derivative was suggested and many concerns have been raised as what such operator cannot be considered as derivative. In this paper, we proved that not only the operator is a derivative but a derivative associate to the well-known Riemann-Stieltjes integral. We have in addition present some applications of the conformable derivative in image processing and dynamical processes including chaos and epidemiology © 2022. NSP Natural Sciences Publishing Cor
Açıklama
Anahtar Kelimeler
And epidemiology, Chaos, Conformable derivative, Fractal calculus, Image processing, Stieltjes integral
Kaynak
Progress in Fractional Differentiation and Applications
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
8
Sayı
2
