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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-516
Full Name: Xihui Zhang
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: University of Electronic Science and Technology of China, Chengdu, Sichuan, P. R. China
Country: CHINA
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E-mail address: seaharm_yeah@163.com
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Title of the Paper: 6
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Number of paper pages: 10
Abstract: The fractional Fourier transform (FRFT) has many applications in several areas, including mathematics, signal processing and optics. The derivative properties of FRFT are well investigated, but no discussion has yet been given on the fractional derivative properties of FRFT. In this paper, we present the fractional derivative formulation of FRFT obtained by generalizing the derivative property. Considering that the high complexity of the formulation limits its analysis and application, we propose a simplified formulation to show the fractional derivative property. Examples show the effectiveness of the proposed formulations.
Keywords: fractional Fourier transform, Fractional calculus, Generalized Mittag-Leffler function, Linear canonical transform
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