Fractional Iteration and a Generalised Abel's Equation in Two Variables
PHIL DIAMOND (1971)
Aequationes mathematicae
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Displaying similar documents to “Regular fractional iterations.”
Fractional Iteration and a Generalised Abel's Equation in Two Variables
Eulerian numbers with fractional order parameters. (Summary).
P.L. Butzer, M. Hauss (1992)
Aequationes mathematicae
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Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils
Tadeusz Kaczorek (2015)
International Journal of Applied Mathematics and Computer Science
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Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils are addressed. Conditions for pointwise completeness and pointwise degeneracy of the systems are established and illustrated by an example.
Eulerian numbers with fractional order parameters.
P.L. Butzer, M. Hauss (1993)
Aequationes mathematicae
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Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative
Tadeusz Kaczorek, Kamil Borawski (2016)
International Journal of Applied Mathematics and Computer Science
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The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative. A method for computing solutions of continuous-time systems is presented. Necessary and sufficient conditions for the positivity and stability of these systems are established. The discussion is illustrated with a numerical example.
Fractional iteration of differentiable functions
M. Kuczma (1969)
Annales Polonici Mathematici
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A uniqueness criterion for fractional iteration
B. A. Reznick (1974)
Annales Polonici Mathematici
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Positivity and stability of fractional descriptor time-varying discrete-time linear systems
Tadeusz Kaczorek (2016)
International Journal of Applied Mathematics and Computer Science
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The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor timevarying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.
Note on the fractional parts of λθⁿ
Masayoshi Hata (2005)
Acta Arithmetica
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B. Martić (1964)
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Helena Musielak (1973)
Colloquium Mathematicae
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A Note On Fractional Integration
Branislav Martić (1973)
Publications de l'Institut Mathématique
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Canonical Decompositions, Stable Functions, and Fractional Iterates.
A. Sklar (1969)
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Fractional Derivatives in Spaces of Generalized Functions
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...