Results 21 to 30 of about 1,486 (259)

New general Grüss-type inequalities over σ-finite measure space with applications

open access: yesAdvances in Difference Equations, 2020
In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal   +5 more
doaj   +1 more source

Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities

open access: yesMathematical and Computer Modelling, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarıkaya, Mehmet Zeki   +3 more
openaire   +1 more source

Fractional integral inequalities and global solutions of fractional differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2020
New fractional integral inequalities are established, which generalize some famous inequalities. Then we apply these new fractional integral inequalities to study global existence results for fractional differential equations.
Tao Zhu
doaj   +1 more source

Generalized proportional fractional integral Hermite–Hadamard’s inequalities

open access: yesAdvances in Difference Equations, 2021
The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations.
Tariq A. Aljaaidi   +5 more
doaj   +1 more source

On the weighted fractional integral inequalities for Chebyshev functionals

open access: yesAdvances in Difference Equations, 2021
The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman   +4 more
doaj   +1 more source

On Discrete Fractional Integral Inequalities for a Class of Functions

open access: yesComplexity, 2020
Discrete fractional calculus ℱ C is proposed to depict neural systems with memory impacts.
Saima Rashid   +3 more
openaire   +3 more sources

On Some Integral Inequalities via Conformable Fractional Integrals [PDF]

open access: yesApplied Mathematics and Nonlinear Sciences, 2020
Abstract In the present note, we have given a new integral identity via Conformable fractional integrals and some further properties. We have proved some integral inequalities for different kinds of convexity via Conformable fractional integrals.
Akdemir, Ahmet Ocak   +2 more
openaire   +3 more sources

Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions

open access: yesJournal of Function Spaces, 2021
Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016).
Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

(k, ψ)-Proportional Fractional Integral Pólya–Szegö- and Grüss-Type Inequalities

open access: yesFractal and Fractional, 2021
The purpose of this research was to discover a novel method to recover k-fractional integral inequalities of the Pólya–Szegö-type. We employ these generalized inequalities to investigate some new fractional integral inequalities of the Grüss-type.
Tariq A. Aljaaidi   +6 more
doaj   +1 more source

Inequalities for generalized Riemann–Liouville fractional integrals of generalized strongly convex functions

open access: yesAdvances in Difference Equations, 2021
Some new integral inequalities for strongly ( α , h − m ) $(\alpha ,h-m)$ -convex functions via generalized Riemann–Liouville fractional integrals are established.
Ghulam Farid   +4 more
doaj   +1 more source

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