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Mathematical analysis of modified blood glucose insulin model through fractal fractional operators. [PDF]

Sci Rep
Gassem F, Zahir A, Dawood A, Almalahi M, Ali A, Aldwoah K.   +5 more
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Viscoelastic characterization of the human osteosarcoma cancer cell line MG-63 using a fractional-order zener model through automated algorithm design and configuration. [PDF]

Sci Rep
Duque-Gimenez GC, Zambrano-Gutierrez DF, Rodriguez-Nieto M, Menchaca JL, Cruz-Duarte JM, Zárate-Triviño DG, Avina-Cervantes JG, Ortiz-Bayliss JC.   +7 more
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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...
exaly   +2 more sources

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

NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS

Fractals, 2020
We firstly establish an identity involving local fractional integrals. Then, with the help of this equality, some new Newton-type inequalities for functions whose the local fractional derivatives in modulus and their some powers are generalized convex are obtained.
Iftikhar, Sabah, Kumam, Poom, Erden, Samet, Erden, Samet   +3 more
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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 sets R α
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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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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