Results 21 to 30 of about 1,795,890 (245)
On positive solutions of a system of equations generated by Hadamard fractional operators
Advances in Difference Equations, 2020 This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators.
Amira M. Abdalla +2 more
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Morrey spaces and fractional integral operators
Expositiones Mathematicae, 2009 The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are established.
Eridani +2 more
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core +1 more source
Subordination results for a fractional integral operator
Issues of Analysis, 2022 Summary: In this paper, we establish several differential subordinations regarding the operator \(D_z^{-\lambda }SR^{m,n}\) defined using the fractional integral of the differential operator \(SR^{m,n}\), obtained as a convolution product of Sălăgean operator \(S^m\) and Ruscheweyh derivative \(R^n\).
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A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces
Boundary Value Problems, 2009 We show some inequalities for generalized fractional integral operators on generalized Morrey spaces. We also show the boundedness property of the generalized fractional integral operators on the predual of the generalized Morrey spaces.
Yoshihiro Sawano +2 more
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Journal of Mathematics, 2020 In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung +4 more
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Demonstratio Mathematica, 2023 Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel +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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Bounds of a Unified Integral Operator via Exponentially s,m-Convexity and Their Consequences
Journal of Function Spaces, 2020 Various known fractional and conformable integral operators can be obtained from a unified integral operator. The aim of this paper is to find bounds of this unified integral operator via exponentially s,m-convex functions.
Yi Hu +3 more
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Novel Approaches for Differentiable Convex Functions via the Proportional Caputo-Hybrid Operators
Fractal and Fractional, 2022 This study is built on the relationship between inequality theory and fractional analysis. Thanks to the new fractional operators and based on the proportional Caputo-hybrid operators, integral inequalities containing new approaches are obtained for ...
Mustafa Gürbüz +2 more
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