Výsledky vyhledávání - "Yong Shun Liang"

APPROXIMATION OF THE SAME BOX DIMENSION IN CONTINUOUS FUNCTIONS SPACE

Autor: YONG-SHUN LIANG

Publikováno v: Fractals. 30

In this paper, we make research on the approximation of functions with fractal dimension in continuous functions space. We first investigate fractal dimension of the linear combination of continuous functions with different fractal dimensions. Then,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4e5a0bc58f5629a410abe97cc492a539
https://doi.org/10.1142/s0218348x22500396

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ON RIEMANN–LIOUVILLE FRACTIONAL DIFFERENTIABILITY OF CONTINUOUS FUNCTIONS AND ITS PHYSICAL INTERPOLATION

Autor: Yong-Shun Liang, Wei Xiao

Publikováno v: Fractals. 29

In this paper, we mainly research on fractional differentiability of certain continuous functions with fractal dimension one. First, Riemann–Liouville fractional differential of differentiable functions must exist. Then, we prove the existence of R

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7ad12ef5449c1188849289fbd2009109
https://doi.org/10.1142/s0218348x2150242x

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RELATIONSHIP BETWEEN UPPER BOX DIMENSION OF CONTINUOUS FUNCTIONS AND ORDERS OF WEYL FRACTIONAL INTEGRAL

Autor: Wei Xiao, Yong-Shun Liang, H. B. Gao

Publikováno v: Fractals. 29

In this paper, we mainly investigate relationship between fractal dimension of continuous functions and orders of Weyl fractional integrals. If a continuous function defined on a closed interval is of bounded variation, its Weyl fractional integral m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bf6bcc51f801ac208a310c05e4d2bf0
https://doi.org/10.1142/s0218348x21502236

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Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions

Autor: Yong Shun Liang

Publikováno v: Fractional Calculus and Applied Analysis. 21:1651-1658

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::37aa463251a082602761b46ebcf3b05c
https://doi.org/10.1515/fca-2018-0087

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FRACTAL DIMENSION ESTIMATION OF THE MARCHAUD FRACTIONAL DIFFERENTIAL OF CERTAIN CONTINUOUS FUNCTIONS

Autor: Qi Zhang, Yong-Shun Liang

Publikováno v: Fractals. 29:2150171

In this paper, we mainly investigate the fractional differential of a class of continuous functions. The upper Box dimension of the Marchaud fractional differential of continuous functions satisfying the Hölder condition increases at most linearly w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::644058fd6c703d9059ec737459925e0b
https://doi.org/10.1142/s0218348x21501711

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Fractal dimensions of fractional integral of continuous functions

Autor: Yong Shun Liang, Wei Yi Su

Publikováno v: Acta Mathematica Sinica, English Series. 32:1494-1508

In this paper, we mainly explore fractal dimensions of fractional calculus of continuous functions defined on closed intervals. Riemann–Liouville integral of a continuous function f(x) of order v(v > 0) which is written as D −v f(x) has been prov

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c39bf213a76a579358cfc92d9570d529
https://doi.org/10.1007/s10114-016-6069-z

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UPPER BOX DIMENSION OF RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF FRACTAL FUNCTIONS

Autor: Yong-Shun Liang, H. X. Wang

Publikováno v: Fractals. 29:2150015

In this paper, we mainly investigate fractal dimension of fractional calculus of certain continuous functions. It has been proved that upper Box dimension of Riemann–Liouville fractional integral of fractal functions whose upper Box dimension is gr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1a658d68ae00d9194fd7bf0838df589d
https://doi.org/10.1142/s0218348x21500158

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ESTIMATION OF FRACTAL DIMENSION OF FRACTIONAL CALCULUS OF THE HÖLDER CONTINUOUS FUNCTIONS

Autor: Yong-Shun Liang

Publikováno v: Fractals. 28:2050123

In the present paper, fractal dimension and properties of fractional calculus of certain continuous functions have been investigated. Upper Box dimension of the Riemann–Liouville fractional integral of continuous functions satisfying the Hölder co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bc7523079bc328712483f85c8b262d6b
https://doi.org/10.1142/s0218348x20501236

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ESTIMATION OF FRACTAL DIMENSION OF WEYL FRACTIONAL INTEGRAL OF CERTAIN CONTINUOUS FUNCTIONS

Autor: Yong-Shun Liang

Publikováno v: Fractals. 28:2050030

In this work, we consider fractal dimension such as Box dimension, of Weyl fractional integral of certain continuous functions. Upper Box dimension of Weyl fractional integral of continuous functions satisfying [Formula: see text]-order Hölder condi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7a5d7d6e31b9528e6854b0f44ffb08bf
https://doi.org/10.1142/s0218348x20500309

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Dimension of Riemann-Liouville fractional integral of Takagi function

Autor: Kui Yao, Ning Liu, Yong Shun Liang

Publikováno v: 2018 Chinese Control And Decision Conference (CCDC).

In this paper, we mainly discuss the characteristics of a type of special function called Takagi function which was derived from Weierstrass function. We have proved this function is continuous but can not be differentiable on any subinterval. In oth

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::406941902696c7aa81122988fa1b27f6
https://doi.org/10.1109/ccdc.2018.8407523

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