Results 241 to 250 of about 49,033 (277)

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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Generalized Ostrowski type inequalities for local fractional integrals

Proceedings of the American Mathematical Society, 2016
First, we establish the generalized Ostrowski inequality for local fractional integrals on fractal setsRαR^{\alpha }(0>α≤1)\left ( 0>\alpha \leq 1\right )of real line numbers. Secondly, we obtain some new inequalities using the generalized convex function on fractal setsRαR^{\alpha }.
Sarikaya, Mehmet Zeki, Budak, HÜSEYİN
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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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Beyond fractional derivatives: local approximation of other convolution integrals

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009
Dynamic systems involving convolution integrals with decaying kernels, of which fractionally damped systems form a special case, are non-local in time and hence infinite dimensional.
Singh, Satwinder Jit, Chatterjee, Anindya   +1 more
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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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Localized derivatives in spaces of functions representable by localized fractional integrals

Integral Transforms and Special Functions, 2019
The form of a localized fractional derivative of the Marchaud type is obtained. The compositions of localized fractional Riemann-Liouville and Marchaud type derivatives and localized fractional int...
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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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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.
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On corrected Simpson-type inequalities via local fractional integrals

Georgian Mathematical Journal
Abstract The paper discusses corrected Simpson-type inequalities on fractal sets. Based on an introduced identity, we establish some error bounds for the considered formula using the generalized s-convexity and s-concavity of the local fractional derivative.
Lakhdari, Abdelghani, Meftah, Badreddine, Saleh, Wedad   +2 more
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