Fractional powers of non-negative operators in Fréchet spaces.
Martinez, C., Sanz, M., Calvo, V. (1989)
International Journal of Mathematics and Mathematical Sciences
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Martinez, C., Sanz, M., Calvo, V. (1989)
International Journal of Mathematics and Mathematical Sciences
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Praveen Agarwal, Juan J. Nieto (2015)
Open Mathematics
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In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.
B. Martić (1964)
Matematički Vesnik
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Masayoshi Hata (2005)
Acta Arithmetica
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H. Hövel, U. Westphal (1972)
Studia Mathematica
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Helena Musielak (1973)
Colloquium Mathematicae
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Branislav Martić (1973)
Publications de l'Institut Mathématique
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Ljubica Oparnica (2002)
Matematički Vesnik
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Stojanović, Mirjana (2011)
Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo We generalize the two forms of the fractional derivatives (in Riemann-Liouville and Caputo sense) to spaces of generalized functions using appropriate techniques such as the multiplication of absolutely continuous function by the Heaviside function, and the analytical continuation. As an application, we give the two forms of the fractional derivatives of discontinuous functions in spaces of...
Celso Martinez, Miguel Sanz (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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