Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications

被引：6

作者：

Zhou, Shuang-Shuang ^{[1
]}

Rashid, Saima ^{[2
]}

Dragomir, Silvestru Sever ^{[3
]}

Latif, Muhammad Amer ^{[4
]}

Akdemir, Ahmet Ocak ^{[5
]}

Liu, Jia-Bao ^{[6
]}

机构：

[1] Hunan City Univ, Sch Sci, Yiyang 413000, Peoples R China

[2] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia

[4] Univ Hail, Dept Basic Sci, Hail 2440, Saudi Arabia

[5] Ibrahim Cecen Univ Agri, Fac Sci & Letters, Dept Math, TR-04100 Agri, Turkey

[6] Anhui Inst Architecture & Ind, Sch Math & Phys, Hefei 230601, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

关键词：

NICHOLSONS BLOWFLIES MODEL; CONJUGATE-GRADIENT METHOD; DIFFERENTIAL-EQUATIONS; NEURAL-NETWORKS; LIMIT-CYCLES; CONVERGENCE; EXISTENCE; OPTIMIZATION; STABILITY; SYSTEMS;

D O I：

10.1155/2020/5285147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present several new inequalities involving the kappa-fractional integral for the integrable function F which satisfies one of the following conditions is a Lipschitz function. As applications, we establish new inequalities for the weighted arithmetic and generalized logarithmic means.

引用

页数：14

共 50 条

[41] Some New Inequalities of Simpson's Type for s-convex Functions via Fractional Integrals
Chen, Jianhua
Huang, Xianjiu
FILOMAT, 2017, 31 (15) : 4989 - 4997
[42] Some novel refinements of Hermite-Hadamard and Pachpatte type integral inequalities involving a generalized preinvex function pertaining to Caputo-Fabrizio fractional integral operator
Tariq, Muhammad
Shaikh, Asif Ali
Ntouyas, Sotiris K.
Tariboon, Jessada
AIMS MATHEMATICS, 2023, 8 (11): : 25572 - 25610
[43] Extremal solutions of fuzzy fractional Volterra integral equations involving the generalized kernel functions by the monotone iterative technique
Truong Vinh An
Ngo Van Hoa
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (04) : 5143 - 5155
[44] APPLICATIONS OF FIBRE CONTRACTION PRINCIPLE TO SOME CLASSES OF FUNCTIONAL INTEGRAL EQUATIONS
Ilea, Veronica
Otrocol, Diana
Rus, Ioan A.
Serban, Marcel-Adrian
FIXED POINT THEORY, 2022, 23 (01): : 279 - 292
[45] Integral inequalities of systems and the estimate for solutions of certain nonlinear two-dimensional fractional differential systems
Ma, Qing-Hua
Pecaric, Josip
Zhang, Jian-Mei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (11) : 3258 - 3267
[46] Some New Generalizations of Integral Inequalities for Harmonical cr-(h1,h2)-Godunova-Levin Functions and Applications
Saeed, Tareq
Afzal, Waqar
Abbas, Mujahid
Treanta, Savin
De la sen, Manuel
MATHEMATICS, 2022, 10 (23)
[47] Design of H∞/passive state feedback control for delayed fractional order gene regulatory networks via new improved integral inequalities
Padmaja, N.
Balasubramaniam, P.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 111
[48] Reverse Minkowski Inequalities Pertaining to New Weighted Generalized Fractional Integral Operators
Liko, Rozana
Mohammed, Pshtiwan Othman
Kashuri, Artion
Hamed, Y. S.
FRACTAL AND FRACTIONAL, 2022, 6 (03)
[49] Some new integral inequalities and their applications in studying the stability of nonlinear integro-differential equations with time delay
Li, Lianzhong
Meng, Fanwei
Ju, Peijun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (02) : 853 - 862
[50] Some New Implications of Certain Constitutive Inequalities in Plane Isotropic Elasticity
M. Aron
Journal of Elasticity, 1997, 46 : 223 - 237

← 1 2 3 4 5 →