Some new inequalities for generalized fractional conformable integral operators

被引：0
作者：
Kottakkaran Sooppy Nisar
Gauhar Rahman
Aftab Khan
机构：
[1] Prince Sattam bin Abdulaziz University,Department of Mathematics, College of Arts and Sciences
[2] Shaheed Benazir Bhutto University,Department of Mathematics
[3] Sheringal,undefined
来源：
Advances in Difference Equations | / 2019卷
关键词：
Fractional integral; Generalized conformable fractional integral; Integral inequalities;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The present paper aims to establish certain new classes of integral inequalities for a class of n (n∈N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$n\in \mathbb{N}$\end{document}) positive continuous and decreasing functions by utilizing the generalized fractional conformable integral operators (FCIO) recently defined by Khan and Khan. From these results, we also derive several particular cases.
引用
收藏
相关论文
共 77 条
[1]  
Abdeljawad T.(2015)On conformable fractional calculus J. Comput. Appl. Math. 279 57-66
[2]  
Abdeljawad T.(2017)A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel J. Inequal. Appl. 2017 5457-5473
[3]  
Abdeljawad T.(2017)Fractional operators with exponential kernels and a Lyapunov type inequality Adv. Differ. Equ. 2017 493-497
[4]  
Abdeljawad T.(2018)Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives J. Inequal. Appl. 2018 237-247
[5]  
Agarwal R.P.(2017)A generalized Lyapunov-type inequality in the frame of conformable derivatives. A generalized Lyapunov-type inequality in the frame of conformable derivatives Adv. Differ. Equ. 2017 31-38
[6]  
Alzabut J.(2017)On generalized fractional operators and a Gronwall type inequality with applications Filomat 31 65-70
[7]  
Jarad F.(2010)New inequalities in fractional integrals Int. J. Nonlinear Sci. 9 378-389
[8]  
ÖZbekler A.(2014)New classes of integral inequalities of fractional order Matematiche 69 1191-1204
[9]  
Abdeljawad T.(2010)On weighted Gruss type inequalities via fractional integration J. Adv. Res. Pure Math. 2 201-212
[10]  
Alzabut J.(2017)On a new class of fractional operators Adv. Differ. Equ. 2017 249-263
12345678