Results 211 to 220 of about 6,121,976 (240)

Generalized Abel type integral equations with localized fractional integrals and derivatives

Integral Transforms and Special Functions, 2018
ABSTRACTGeneralized Abel type integral equations with Gauss, Kummer's and Humbert's confluent hypergeometric functions in the kernel and generalized Abel type integral equations with localized fractional integrals are considered. The left-hand sides of these equations are inversed by using generalized fractional derivatives.
exaly   +2 more sources

Applications of Yang-Fourier Transform to Local Fractional Equations with Local Fractional Derivative and Local Fractional Integral

Advanced Materials Research, 2012
Yang-Fourier transform is the generalization of the fractional Fourier transform of non-differential functions on fractal space. In this paper, we show applications of Yang-Fourier transform to local fractional equations with local fractional derivative and local fractional ...
Wei Ping Zhong, Feng Gao, Xiao Ming Shen
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Local Fractional and singular integrals on open subsets

Journal d'Analyse Mathématique, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Harboure, Eleonor Ofelia, Salinas, Oscar Mario, Viviani, Beatriz Eleonora   +2 more
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LOCAL WHITTLE ESTIMATION OF FRACTIONAL INTEGRATION FOR NONLINEAR PROCESSES

Econometric Theory, 2007
Summary: We study asymptotic properties of the local Whittle estimator of the long memory parameter for a wide class of fractionally integrated nonlinear time series models. In particular, we solve the conjecture posed by \textit{P. C. B. Phillips} and \textit{K. Shimotsu} [Ann. Stat. 32, No.
Shao, Xiaofeng, Wu, Wei Biao
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THE LOCAL ASYMPTOTIC POWER OF CERTAIN TESTS FOR FRACTIONAL INTEGRATION

Econometric Theory, 1999
It is possible to construct a test of the null of no fractional integration that has nontrivial asymptotic power against a sequence of alternatives specifying that the series is I(d) with d = O(T−1/2), where T is the sample size. In this paper, I show that tests for fractional integration that are based on the partial sum process of the time ...
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Weighted Norm Inequalities for Local Fractional Integrals on Gaussian Measure Spaces

Potential Analysis, 2019
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Haibo Lin, Shengchen Mao
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Parareal algorithms with local time-integrators for time fractional differential equations

Journal of Computational Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shu-Lin Wu, Tao Zhou 0010
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Fractional and Integral Coloring of Locally-Symmetric Sets of Paths on Binary Trees

2004
Motivated by the problem of allocating optical bandwidth in tree–shaped WDM networks, we study the fractional path coloring problem in trees. We consider the class of locally-symmetric sets of paths on binary trees and prove that any such set of paths has a fractional coloring of cost at most 1.367L, where L denotes the load of the set of paths.
Ioannis Caragiannis, Christos Kaklamanis, Pino Persiano, Anastasios Sidiropoulos   +3 more
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Local weighted inequalities for the fractional integral operator

Kobe Journal of Mathematics, 2000
The author studies a local version of the Riesz potential, given by \[ I_{\alpha,B(x_0,R_0)}f(x)=\int_{y\in B(x_0,R_0)}|x-y|^{\alpha-n}f(y) dy, \] where \(x_0\in\mathbb R^n\), \(R_0>0\), \(n\geq 1\) and ...
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SOME INTEGRAL INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS

In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
Sarikayala, M. Zeki, Erden, Samet, Budak, Huseyin, Erden, Samet   +3 more
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