Calderón's Formula Associated with a Differential Operator on (0, ...) and Inversion of the Generalized Abel Transform.
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M.A. Mourou, K. Trimèche (1998)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Luchko, Yury, Trujillo, Juan (2007)
Fractional Calculus and Applied Analysis
2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05The Caputo fractional derivative is one of the most used definitions of a fractional derivative along with the Riemann-Liouville and the Grünwald- Letnikov ones. Whereas the Riemann-Liouville definition of a fractional derivative is usually employed in mathematical texts and not so frequently in applications, and the Grünwald-Letnikov definition – for numerical approximation of both Caputo and Riemann-Liouville fractional derivatives,...
Cvetkovic, Aleksandar, Rajković, Predrag, Ivković, Milos (2002)
Journal of Integer Sequences [electronic only]
Adam Korányi, Stephen Vági (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Kilbas, Anatoly, Trujillo, Juan, Voroshilov, Aleksandr (2005)
Fractional Calculus and Applied Analysis
2000 Mathematics Subject Classification: 35A15, 44A15, 26A33The paper is devoted to the study of the Cauchy-type problem for the differential equation [...] involving the Riemann-Liouville partial fractional derivative of order α > 0 [...] and the Laplace operator.
Tavathia, B.S. (1971)
Portugaliae mathematica
Pratap Singh (1973)
Publications de l'Institut Mathématique
Abdelkefi, Chokri, Sifi, Mohamed (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
F. Brackx, F. Sommen (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Yurii I. Lyubarskii, Kristian Seip (1997)
Revista Matemática Iberoamericana
We describe the complete interpolating sequences for the Paley-Wiener spaces Lπp (1 < p < ∞) in terms of Muckenhoupt's (Ap) condition. For p = 2, this description coincides with those given by Pavlov [9], Nikol'skii [8] and Minkin [7] of the unconditional bases of complex exponentials in L2(-π,π). While the techniques of these authors are linked to the Hilbert space geometry of Lπ2, our method of proof is based in turning the problem into one about boundedness of the Hilbert transform...
Alexander Hertle (1983)
Mathematische Zeitschrift
Vu Kim Tuan, Saigo, Megumi (1995)
International Journal of Mathematics and Mathematical Sciences
Jorge J. Betancor, Isabel Marrero (1997)
Czechoslovak Mathematical Journal
Miana, Pedro (2005)
Fractional Calculus and Applied Analysis
Mathematics Subject Classification: 43A20, 26A33 (main), 44A10, 44A15We prove equalities in the Banach algebra L1(R+). We apply them to integral transforms and fractional calculus.* Partially supported by Project BFM2001-1793 of the MCYT-DGI and FEDER and Project E-12/25 of D.G.A.
Hans-Jürgen Glaeske (2000)
Banach Center Publications
Richard O'Neil (1972)
Studia Mathematica
Aleksandar Ivić (2006)
Publications de l'Institut Mathématique
Shiqi Song (1995)
Séminaire de probabilités de Strasbourg
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