FRACTAL DIMENSIONS OF KATUGAMPOLA FRACTIONAL INTEGRAL OF CONTINUOUS FUNCTIONS SATISFYING HÖLDER CONDITION

Kui Yao, Zekun Wang, Xia Zhang, Wenliang Peng and Jia Yao ()
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Kui Yao: Army Engineering University of PLA, Nanjing 211101, P. R. China
Zekun Wang: Army Engineering University of PLA, Nanjing 211101, P. R. China
Xia Zhang: ��Nanjing University of Science and Technology, Nanjing 210094, P. R. China
Wenliang Peng: Army Engineering University of PLA, Nanjing 211101, P. R. China
Jia Yao: Army Engineering University of PLA, Nanjing 211101, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 03, 1-7

Abstract: This paper mainly investigates fractal dimensions of Katugampola fractional integral of continuous functions. It is proven that there exist some interesting connections between the order of Katugampola fractional integral and the upper box dimension of continuous functions satisfied Hölder condition.

Keywords: Hadamard Fractional Integral; Hausdorff Dimension; Weierstrass-Type Function with Random Phases; Potential Theory (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22500530

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