Introducing novel O-fractional operators: Advances in fractional calculus

被引：6

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

共 50 条

[11] Further Results on Fractional Calculus of Saigo Operators
Agarwal, Praveen
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2012, 7 (02): : 585 - 594
[12] FRACTIONAL CALCULUS OPERATORS OF THE PRODUCT OF THE SECOND TYPE
Agarwal, Ritu
Kumar, Naveen
Parmar, Rakesh Kumar
Purohit, Sunil Dutt
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 36 (03): : 557 - 573
[13] Weighted Fractional Calculus: A General Class of Operators
Fernandez, Arran
Fahad, Hafiz Muhammad
FRACTAL AND FRACTIONAL, 2022, 6 (04)
[14] Fractional calculus operators and their applications to thermal systems
Agarwal, Praveen
Wang, G.
Al-Dhaifallah, M.
ADVANCES IN MECHANICAL ENGINEERING, 2018, 10 (06):
[15] Classes of operators in fractional calculus: A case study
Fernandez, Arran
Baleanu, Dumitru
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 9143 - 9162
[16] A note on multidimensional modified fractional calculus operators
Raina, RK
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1996, 106 (02): : 155 - 162
[17] Some operators of fractional calculus and their applications involving a novel class of analytic functions
Chen, MP
Srivastava, HM
Yu, CS
APPLIED MATHEMATICS AND COMPUTATION, 1998, 91 (2-3) : 285 - 296
[18] Some operators of fractional calculus and their applications involving a novel class of analytic functions
Chen, Ming-Po
Srivastava, H.M.
Yu, Ching-Shu
Applied Mathematics and Computation (New York), 1998, 91 (2-3): : 285 - 296
[19] New integral operators for conformable fractional calculus with applications
Bezziou, Mohamed
Dehmani, Zoubir
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (04) : 927 - 940
[20] On a Class of Positive Definite Operators and Their Application in Fractional Calculus
Aleroev, Temirkhan
AXIOMS, 2022, 11 (06)

← 1 2 3 4 5 →