Fractional Fourier transform in the framework of fractional calculus operators
✍ Scribed by Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J.
- Book ID
- 120221886
- Publisher
- Taylor and Francis Group
- Year
- 2010
- Tongue
- English
- Weight
- 146 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1065-2469
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📜 SIMILAR VOLUMES
In Fractional Calculus (FC), the Laplace and the Fourier integral transforms are traditionally employed for solving different problems. In this paper, we demonstrate the role of the Mellin integral transform in FC. We note that the Laplace integral transform, the sin-and cos-Fourier transforms, and
## H-functions a b s t r a c t We propose a unified approach to the so-called Special Functions of Fractional Calculus (SFs of FC), recently enjoying increasing interest from both theoretical mathematicians and applied scientists. This is due to their role as solutions of fractional order different