(k, s)-Riemann-Liouville fractional integral and applications

被引：127

作者：

Sarikaya, Mehmet Zeki ^{[1
]}

Dahmani, Zoubir ^{[2
]}

Kiris, Mehmet Eyup ^{[3
]}

Ahmad, Farooq ^{[4
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

[2] Univ Mostaganem, UMAB, Lab Pure & Appl Math, Mostaganem, Algeria

[3] Afyon Kocatepe Univ, Fac Sci & Arts, Dept Math, Afyon, Turkey

[4] Majmaah Univ, Colleege Sci, Dept Math, Al Zulfi, Saudi Arabia

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2016年 / 45卷 / 01期

关键词：

Riemann-Liouville fractional integrals; synchronous function; Chebyshev inequality; Holder inequality; INEQUALITIES;

D O I：

10.15672/HJMS.20164512484

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.

引用

页码：77 / 89

页数：13

共 50 条

[41] New Results on r,k,μ-Riemann-Liouville Fractional Operators in Complex Domain with Applications
Tayyah, Adel Salim
Atshan, Waggas Galib
[J]. FRACTAL AND FRACTIONAL, 2024, 8 (03)
[42] NEW GENERAL INTEGRAL INEQUALITIES FOR LIPSCHITZIAN FUNCTIONS VIA RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS AND APPLICATIONS
Iscan, Imdat
Kunt, Mehmet
Gozutok, Nazli Yazici
Koroglu, Tuncay
[J]. JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (04): : 1 - 12
[43] On Some Properties of Riemann-Liouville Fractional Operator in Orlicz Spaces and Applications to Quadratic Integral Equations
Metwali, Mohamed M. A.
[J]. FILOMAT, 2022, 36 (17) : 6009 - 6020
[44] Riemann-Liouville fractional integral type exponential sampling Kantorovich series
Kursun, Sadettin
Aral, Ali
Acar, Tuncer
[J]. EXPERT SYSTEMS WITH APPLICATIONS, 2024, 238
[45] UPPER BOX DIMENSION OF RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OF FRACTAL FUNCTIONS
Liang, Y. S.
Wang, H. X.
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (01)
[46] Mesoscopic fractional kinetic equations versus a Riemann-Liouville integral type
Nigmatullin, Raoul R.
Trujillo, Juan J.
[J]. ADVANCES IN FRACTIONAL CALCULUS: THEORETICAL DEVELOPMENTS AND APPLICATIONS IN PHYSICS AND ENGINEERING, 2007, : 155 - +
[47] Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral
Aljinovic, Andrea Aglic
[J]. JOURNAL OF MATHEMATICS, 2014, 2014
[48] Integral-Type Fractional Equations with a Proportional Riemann-Liouville Derivative
Mlaiki, Nabil
[J]. JOURNAL OF MATHEMATICS, 2021, 2021
[49] Extended Riemann-Liouville fractional derivative operator and its applications
Agarwal, Praveen
Choi, Junesang
Paris, R. B.
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 451 - 466
[50] The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces II
Paulo Mendes Carvalho Neto
Renato Fehlberg Júnior
[J]. Fractional Calculus and Applied Analysis, 2024, 27 : 1348 - 1368

← 1 2 3 4 5 →