Article 2023 · 3 atıf

On Novel Fractional Integral and Differential Operators and Their Properties

Mubeen, Shahid, Ali, Rana Safdar, Elmasry, Yasser, Bonyah, Ebenezer, Kashuri, Artion, Rahman, Gauhar, Yildiz, Cetin

Özet

The main goal of this paper is to describe the new version of extended Bessel-Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential operators. The convergence and boundedness of the newly operators and compare them with the existing operators such as the Saigo and Riemann-Liouville fractional operators are explored. The integral transforms of newly defined and generalized fractional operators in terms of the generalized Fox-Wright function are presented. Additionally, we discuss a few exceptional cases of the main result.

Anahtar Kelimeler

BESSEL-MAITLAND FUNCTION INEQUALITIES EXTENSION HADAMARD

WoS Kategorileri

Mathematics

Sürdürülebilir Kalkınma Amaçları

Sağlık ve Kaliteli Yaşam

Künye

Dergi: JOURNAL OF MATHEMATICS
Yıl: 2023
Cilt: 2023
ISSN: 2314-4629
eISSN: 2314-4785
DOI: 10.1155/2023/4165363
WoS UID: WOS:000993234300001

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