Introducing novel O-fractional operators: Advances in fractional calculus

被引：8

作者：

Sadek, Lakhlifa ^{[1
]}

Baleanu, Dumitru ^{[2
,3
]}

Abdo, Mohammed S. ^{[4
,5
]}

Shatanawi, Wasfi ^{[5
,6
,7
]}

机构：

[1] Abdelmalek Essaadi Univ, Fac Sci & Technol, Dept Math, Al Hoceima, Tetouan, Morocco

[2] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

[3] Inst Space Sci, Bucharest, Romania

[4] Hodeidah Univ, Dept Math, Al Hudaydah, Yemen

[5] Prince Sultan Univ, Dept Math & Sci, POB 66833, Riyadh 11586, Saudi Arabia

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[7] Hashemite Univ, Dept Math, Zarqa, Jordan

来源：

JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2024年 / 36卷 / 09期

关键词：

O-CFD; O-conformable fractional integrals (O-CFI); INEQUALITIES;

D O I：

10.1016/j.jksus.2024.103352

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This study explores the foundational iterative processes of fractional calculus, focusing on O-conformable fractional derivatives (O-CFD). We introduce novel fractional operators and define their associated function spaces. Additionally, we establish a series of theorems that enhance our understanding of these operators within the context of fractional calculus.

引用

页数：9

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