[LLIBRE][B] Hadamard-type fractional differential equations, inclusions and inequalities

B Ahmad, A Alsaedi, SK Ntouyas, J Tariboon - 2017 - Springer
The recent studies on fractional differential equations indicate that a variety of interesting
and important results concerning existence and uniqueness of solutions, stability properties …

[HTML][HTML] Inequalities by means of generalized proportional fractional integral operators with respect to another function

S Rashid, F Jarad, MA Noor, H Kalsoom, YM Chu - Mathematics, 2019 - mdpi.com
In this article, we define a new fractional technique which is known as generalized
proportional fractional (GPF) integral in the sense of another function Ψ. The authors prove …

New estimates considering the generalized proportional Hadamard fractional integral operators

SS Zhou, S Rashid, F Jarad, H Kalsoom… - Advances in Difference …, 2020 - Springer
In the article, we describe the Grüss type inequality, provide some related inequalities by
use of suitable fractional integral operators, address several variants by utilizing the …

Some generalized Riemann-Liouville k-fractional integral inequalities

P Agarwal, J Tariboon, SK Ntouyas - Journal of Inequalities and …, 2016 - Springer
The focus of the present study is to prove some new Pólya-Szegö type integral inequalities
involving the generalized Riemann-Liouville k-fractional integral operator. These …

[PDF][PDF] On Pólya-Szegö and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators

SK Ntouyas, P Agarwal, J Tariboon - J. Math. Inequal, 2016 - researchgate.net
In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the
Riemann-Liouville fractional integral operator, and use them to prove some fractional …

[PDF][PDF] The Caputo–Fabrizio fractional integral to generate some new inequalities

GAM Nchama, AL Mecıas, MR Richard - Inf. Sci. Lett, 2019 - academia.edu
Information Sciences Letters The Caputo-Fabrizio Fractional Integral to Generate Some New
Inequalities Page 1 Information Sciences Letters Volume 8 Issue 2 May 2019 Article 4 2019 The …

[HTML][HTML] Properties of Hadamard fractional integral and its application

W Liu, L Liu - Fractal and Fractional, 2022 - mdpi.com
We begin by introducing some function spaces L cp (R+), X cp (J) made up of integrable
functions with exponent or power weights defined on infinite intervals, and then we …

SOME NEW INEQUALITIES FOR -POLYNOMIAL -TYPE CONVEXITY PERTAINING TO INTER-VALUED FUNCTIONS GOVERNED BY FRACTIONAL CALCULUS

ZA Khan, H Kalsoom - Fractals, 2023 - World Scientific
The main goals of this paper are to provide an introduction to the idea of interval-valued n-
polynomial s-type convex functions and to investigate the algebraic properties of this type of …

Certain Chebyshev type integral inequalities involving Hadamard's fractional operators

SK Ntouyas, SD Purohit… - Abstract and Applied …, 2014 - Wiley Online Library
We establish certain new fractional integral inequalities for the differentiable functions
whose derivatives belong to the space Lp ([1,∞)), related to the weighted version of the …

[PDF][PDF] On Hadamard k-fractional integrals

S Iqbal, S Mubeen, M Tomar - J. Fract. Calc. Appl, 2018 - ejmaa.journals.ekb.eg
ON HADAMARD k-FRACTIONAL INTEGRALS 1. Introduction In mathematical analysis, the
fractional calculus is a very helpful tool to p Page 1 Journal of Fractional Calculus and …