Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators [PDF]
Fractal and Fractional, 2021 In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
Hari Mohan Srivastava +3 more
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New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators [PDF]
Fractal and FractionalThe role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to ...
Asifa Tassaddiq +4 more
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New Fractional Integral Inequalities via k-Atangana–Baleanu Fractional Integral Operators [PDF]
Fractal and Fractional, 2023 We propose the definitions of some fractional integral operators called k-Atangana–Baleanu fractional integral operators. These newly proposed operators are generalizations of the well-known Atangana–Baleanu fractional integral operators.
Seth Kermausuor, Eze R. Nwaeze
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Some New Results on Hermite–Hadamard–Mercer-Type Inequalities Using a General Family of Fractional Integral Operators [PDF]
Fractal and Fractional, 2021 The aim of this article is to obtain new Hermite–Hadamard–Mercer-type inequalities using Raina’s fractional integral operators. We present some distinct and novel fractional Hermite–Hadamard–Mercer-type inequalities for the functions whose absolute value
Baris Çelik +2 more
exaly +4 more sources
Fractal and Fractional, 2022 In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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An Application of Multiple Erdélyi–Kober Fractional Integral Operators to Establish New Inequalities Involving a General Class of Functions [PDF]
Fractal and FractionalThis research aims to develop generalized fractional integral inequalities by utilizing multiple Erdélyi–Kober (E–K) fractional integral operators. Using a set of j, with (j∈N) positively continuous and decaying functions in the finite interval a≤t≤x ...
Rekha Srivastava +2 more
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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
E. Set +3 more
semanticscholar +5 more sources
Compactness of Riemann–Liouville fractional integral operators [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We obtain results on compactness of two linear Hammerstein integral operators with singularities, and apply the results to give new proof that Riemann–Liouville fractional integral operators of order $\alpha\in (0,1)$ map $L^{p}(0,1)$ to $C[0,1]$ and ...
Kunquan Lan
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New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators
Mathematics, 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.
Maria Alessandra Ragusa +2 more
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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.
Saad Ihsan Butt +2 more
exaly +2 more sources