Results 11 to 20 of about 4,622 (261)
FRACTIONAL INTEGRAL OPERATORS IN NONHOMOGENEOUS SPACES [PDF]
Bulletin of the Australian Mathematical Society, 2009 AbstractWe discuss here the boundedness of the fractional integral operatorIαand its generalized version on generalized nonhomogeneous Morrey spaces. To prove the boundedness ofIα, we employ the boundedness of the so-called maximal fractional integral operatorIa,κ*.
Gunawan, H. +2 more
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On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications
Journal of Mathematics, 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li +4 more
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New Investigation on the Generalized K-Fractional Integral Operators
Frontiers in Physics, 2020 The main objective of this paper is to develop a novel framework to study a new fractional operator depending on a parameter K > 0, known as the generalized K-fractional integral operator.
Saima Rashid +4 more
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A study of incomplete I-functions relating to certain fractional integral operators
Applied Mathematics in Science and Engineering, 2023 The study discussed in this article is driven by the realization that many physical processes may be understood by using applications of fractional operators and special functions. In this study, we present and examine a fractional integral operator with
S. Bhatter +4 more
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Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
Advances in Difference Equations, 2021 In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi +4 more
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Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
Journal of Mathematics, 2021 The major purpose of this paper is to use the fractional integral operator in terms of extended generalized Bessel function to estimate new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions.
Arshad Hussain +4 more
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Fractal and Fractional, 2023 The fractional Laplacian operator is a very important fractional operator that is often used to describe several anomalous diffusion phenomena. In this paper, we develop some numerical schemes, including a finite difference scheme and finite volume ...
Junjie Wang, Shoucheng Yuan, Xiao Liu
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Mathematics, 2021 Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral operator.
Saima Rashid +3 more
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Some results on quantum Hahn integral inequalities
Journal of Inequalities and Applications, 2019 In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit +3 more
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Singular Integrals and Fractional Powers of Operators [PDF]
Transactions of the American Mathematical Society, 1971 Recently R. Wheeden studied a class of singular integral operators, the hypersingular integrals, as operators from L p
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