Results 31 to 40 of about 5,236 (261)
Results in Applied Mathematics, 2022 In this article, we construct an efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation.
Jiarui Wang, Yang Liu, Cao Wen, Hong Li
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Fractional integration, differentiation, and weighted Bergman spaces [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 1999 We study the action of fractional differentiation and integration on weighted Bergman spaces and also the Taylor coeffficients of functions in certain subclasses of these spaces. We then derive several criteria for the multipliers between such spaces, complementing and extending various recent results.
Buckley, Stephen M. +2 more
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On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces
Journal of Function Spaces, 2016 We study some multilinear operators with rough kernels. For the multilinear fractional integral operators TΩ,αA and the multilinear fractional maximal integral operators MΩ,αA, we obtain their boundedness on weighted Morrey spaces with two weights Lp,κ(u,
Sha He, Xiangxing Tao
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Journal of Inequalities and Applications, 2020 The role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities for the weighted and the extended Chebyshev ...
Barış Çelik +3 more
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Theory of Fractional Hybrid Problems in the Frame of ψ-Hilfer Fractional Operators
Journal of Function Spaces, 2022 In the present manuscript, we develop and extend a qualitative analysis for two classes of boundary value problems for nonlinear hybrid fractional differential equations with hybrid boundary conditions involving a ψ-Hilfer fractional order derivative ...
Saeed M. Ali +4 more
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On Weighted Fractional Integral Inequalities
Journal of Functional Analysis, 2001 The author studies weighted positivity of a fractional power \((-\Delta)^\lambda\) of the Laplace operator, the weight function being the fundamental solution of this fractional power. Let \[ f(n,\lambda)=\psi\left(\frac{n}{2}\right)-\psi\left(\frac{n}{2}-\lambda\right)- \psi(\lambda) +\psi(1).
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Journal of Function Spaces, 2022 The fractional integral inequalities are crucial to deal applied problems. The present paper deals with the generalize midpoint type inequalities for a certain class of convex functions, namely, MT-convex functions in the setting of weighted fractional ...
Yeliang Xiao +3 more
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Certain Chebyshev Type Integral Inequalities Involving Hadamard’s Fractional Operators
Abstract and Applied Analysis, 2014 We establish certain new fractional integral inequalities for the differentiable functions whose derivatives belong to the space Lp([1,∞)), related to the weighted version of the Chebyshev functional, involving Hadamard’s fractional integral operators ...
Sotiris K. Ntouyas +2 more
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Weighted inequalities for product fractional integrals
, 2017 56 pages. We thank Hitoshi Tanaka for pointing out an error in our counterexample involving rectangle A1 weights. An error also occurred in our counterexample involving the two-tailed characteristic.
Sawyer, Eric T., Wang, Zipeng
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