Results 21 to 30 of about 171,468 (355)
Mathematics, 2019 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 .
Saima Rashid +2 more
exaly +2 more sources
Some Inequalities of Čebyšev Type for Conformable k-Fractional Integral Operators
Symmetry, 2018 In the article, the authors present several inequalities of the Čebyšev type for conformable k-fractional integral operators.
Feng Qi +2 more
exaly +2 more sources
Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator [PDF]
Journal of Inequalities and Applications, 2020 AbstractThe aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator. The inequalities presented in this paper are more general than the existing classical inequalities cited.
Asifa Tassaddiq +5 more
openaire +2 more sources
The boundedness of fractional integral operators in local and global mixed Morrey-type spaces [PDF]
Positivity (Dordrecht), 2021 In this paper, we introduce the local and global mixed Morrey-type spaces and show some properties. Besides, we investigate the boundedness of the fractional integral operators $$I_\alpha $$ I α in these spaces.
Houkun Zhang, Jiang Zhou
semanticscholar +1 more source
Generalized Hermite-Hadamard type inequalities involving fractional integral operators. [PDF]
J Inequal Appl, 2017 In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are
Set E, Noor MA, Awan MU, Gözpinar A.
europepmc +2 more sources
Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
M. Tariq, S. Ntouyas, A. A. Shaikh
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Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators
Axioms, 2023 In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms of fractional integral operators.
Asfand Fahad +4 more
semanticscholar +1 more source
Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions
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 +1 more source
International Journal of Computational Intelligence Systems, 2022 In this article, the notion of interval-valued preinvex functions involving the Riemann–Liouville fractional integral is described. By applying this, some new refinements of the Hermite–Hadamard inequality for the fractional integral operator are ...
H. Srivastava +4 more
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New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators
, 2021 In this study, new and general variants have been obtained on Chebyshev’s inequality, which is quite old in inequality theory but also a useful and effective type of inequality.
A. Akdemi̇r +3 more
semanticscholar +1 more source