Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions [PDF]
Journal 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 +2 more sources
On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
doaj +2 more sources
On the weighted fractional integral inequalities for Chebyshev functionals
Advances 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 +2 more sources
Some generalized fractional integral inequalities with nonsingular function as a kernel
AIMS Mathematics, 2021 Integral inequalities play a key role in applied and theoretical mathematics. The purpose of inequalities is to develop mathematical techniques in analysis.
Shahid Mubeen +5 more
doaj +2 more sources
Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function [PDF]
Journal of Inequalities and Applications, 2017 Fractional inequalities are useful in establishing the uniqueness of solution for partial differential equations of fractional order. Also they provide upper and lower bounds for solutions of fractional boundary value problems.
Ghulam Abbas +3 more
doaj +2 more sources
Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities
Fractal and Fractional, 2021 In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone ...
Rana Safdar Ali +6 more
doaj +2 more sources
Certain new proportional and Hadamard proportional fractional integral inequalities
Journal of Inequalities and Applications, 2021 The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional ...
Gauhar Rahman +2 more
doaj +2 more sources
Refinements of Pólya-SzegŐ and Chebyshev type inequalities via different fractional integral operators [PDF]
HeliyonVarious differential and integral operators have been introduced and applied for the generalization of several integral inequalities. The purpose of this article is to create a more generalized fractional integral operator of Saigo type.
Ayyaz Ahmad, Matloob Anwar
doaj +2 more sources
Fractal and Fractional, 2023 The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The Ostrowski’s type inequality is frequently used to investigate errors in numerical quadrature rules and computations.
Gauhar Rahman +5 more
semanticscholar +1 more source
Certain saigo type fractional integral inequalities and their q-analogues
An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2023 The main purpose of the present article is to introduce certain new Saigo fractional integral inequalities and their q-extensions. We also studied some special cases of these inequalities involving Riemann-Liouville and Erdelyi-Kober fractional integral ...
Shilpi Jain +3 more
semanticscholar +1 more source