Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities

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Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this work, we use generalized form of Caputo-type fractional derivative and Riemann–Liouville fractional Integral which is known as Katugampola fractional derivative. This work deals with some results having applications of Katugampola fractional derivative. We discuss commutative and inverse property of Katugampola fractional derivative. We have also introduced Chebyshev inequalities and some other integrals inequalities applying the Katugampola fractional derivative. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.

Açıklama

Anahtar Kelimeler

Chebyshev inequalities, Katugampola fractional derivative, Mellin transformation, Synchronous function

Kaynak

International Journal of Applied and Computational Mathematics

WoS Q Değeri

Scopus Q Değeri

Q2

Cilt

8

Sayı

5

Künye