On the recent trends in the development, theory and applications of fractional calculus
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Springer Berlin Heidelberg
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http://link.springer.com/content/pdf/10.1007/BFb0067119
Reference28 articles.
1. Cf. e.g. Abstracts of communications, ICM Edinburgh, 1958, p. 60, Mikolás, M., "Differentiation and integration of complex order of functions represented by trigonometric series and generalized zeta-function", Acta Mathematica Acad. Sci. Hung., 1959, v. 10, 77–124.
2. Blumenthal, L.M., "Note on fractional operators and the theory of composition", American Journal of Mathematics, 1931, v. 53, 483–492.
3. Riesz, M., "L'intégrale de Riemann-Liouville et le problème de Cauchy", Acta Mathematica, 1949, v. 81, 1 223.
4. Using Riemann-Liouville integrals, the case Re s=0 is considered thoroughly in the paper: Love, E.R., "Fractional derivatives of imaginary order", Journal of the London Mathematical Society, (II), 1971, v. 3, 241–259.
5. Moppert, K.F., "Über einen verallgemeinerten Ableitungsoperator", Commentarii Mathematici Helvetici, 1953, v. 27, 140–150.-Furthermore, Mikolás, M., "Generalized Euler sums and the semigroup property of integro-differential operators", Annales Univ. Sci. Budapest, Sectio Mathematica, 1963, v. 6, 89–101; and from the same author: "Sur la propriété principale des opérateurs différentiels généralisés", Comptes Rendus Acad. Sci. Paris, 1964, v. 258, 5315–5317.-For the particular case xo=∞, x < xo cf. still Stuloff,N., "Die Differentiation beliebiger reeller Ordnung", Mathematische Annalen, 1951, v. 122, 400–410.
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