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Volumn 283, Issue 2, 2003, Pages 459-467

Two families of functions related to the fractional powers of generators of strongly continuous contraction semigroups

(1)  Krägeloh, Alexander M a  

a NONE   (Germany)

Author keywords

Fractional power of operators; Mittag Leffler type functions; One sided stable semigroup; Subordination

Indexed keywords


EID: 18844468150     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00269-5     Document Type: Article
Times cited : (28)

References (20)
  • 1
    • 84972506990 scopus 로고
    • Fractional powers of closed operators and the semigroup generated by them
    • A.V. Balakrishnan, Fractional powers of closed operators and the semigroup generated by them, Pacific J. Math. 10 (1960) 419-437.
    • (1960) Pacific J. Math. , vol.10 , pp. 419-437
    • Balakrishnan, A.V.1
  • 2
    • 0039459055 scopus 로고
    • Differential equations of non-integer order
    • J.H. Barrett, Differential equations of non-integer order, Canad. J. Math. 6 (1954) 529-541.
    • (1954) Canad. J. Math. , vol.6 , pp. 529-541
    • Barrett, J.H.1
  • 3
    • 0001787687 scopus 로고
    • Symmetric stable semigroups on the infinite dimensional torus
    • A.D. Bendikov, Symmetric stable semigroups on the infinite dimensional torus, Exposition. Math. 13 (1995) 39-80.
    • (1995) Exposition. Math. , vol.13 , pp. 39-80
    • Bendikov, A.D.1
  • 8
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus, integral and differential equations of fractional order
    • A. Carpinteri, F. Mainardi (Eds.), CISM Courses and Lectures Springer
    • R. Gorenflo, F. Mainardi, Fractional calculus, integral and differential equations of fractional order, in: A. Carpinteri, F. Mainardi (Eds.), Fractals and Fractional Calculus in Continuum Mechanics, in: CISM Courses and Lectures, Vol. 378, Springer, 1997, pp. 223-276.
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , vol.378 , pp. 223-276
    • Gorenflo, R.1    Mainardi, F.2
  • 9
    • 85031141751 scopus 로고    scopus 로고
    • αβ(z) und Ihre Ableitung
    • available at
    • αβ(z) und Ihre Ableitung, 1999, available at http://www.math.fu-berlin.de/publ/index.html.
    • (1999)
    • Gorenflo, R.1    Loutchko, I.2    Luchko, Y.3
  • 10
    • 0003310251 scopus 로고    scopus 로고
    • Pseudo-Differential Operators and Markov Processes
    • Akademie Verlag
    • N. Jacob, Pseudo-Differential Operators and Markov Processes, in: Mathematical Research, Vol. 94, Akademie Verlag, 1996.
    • (1996) Mathematical Research , vol.94
    • Jacob, N.1
  • 11
    • 0011620954 scopus 로고
    • Note on fractional powers of linear operators
    • T. Kato, Note on fractional powers of linear operators, Proc. Japan Acad. 36 (1960) 94-96.
    • (1960) Proc. Japan Acad. , vol.36 , pp. 94-96
    • Kato, T.1
  • 12
    • 84972498530 scopus 로고
    • Fractional powers of dissipative operators
    • T. Kato, Fractional powers of dissipative operators, J. Math. Soc. Japan 13 (1961) 246-274.
    • (1961) J. Math. Soc. Japan , vol.13 , pp. 246-274
    • Kato, T.1
  • 13
    • 0000332009 scopus 로고
    • Fractional-order diffusion
    • A.N. Kochubei, Fractional-order diffusion, Differential Equations 26 (1990) 485-492.
    • (1990) Differential Equations , vol.26 , pp. 485-492
    • Kochubei, A.N.1
  • 14
    • 84972507800 scopus 로고
    • Fractional powers of operators
    • H. Komatsu, Fractional powers of operators, Pacific J. Math. 19 (1966) 285-346.
    • (1966) Pacific J. Math. , vol.19 , pp. 285-346
    • Komatsu, H.1
  • 15
    • 25544445631 scopus 로고    scopus 로고
    • Feller semigroups generated by fractional derivatives and pseudo-differential operators
    • Dissertation, Friedrich-Alexander-Universität, Erlangen-Nürnberg, Germany
    • A.M. Krägeloh, Feller semigroups generated by fractional derivatives and pseudo-differential operators, Dissertation, Friedrich-Alexander-Universität, Erlangen-Nürnberg, Germany, 2001.
    • (2001)
    • Krägeloh, A.M.1
  • 16
  • 17
    • 0003492056 scopus 로고
    • An Introduction to the Fractional Calculus and Fractional Differential Equations
    • Wiley
    • K.S. Miller, B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, 1993.
    • (1993)
    • Miller, K.S.1    Ross, B.2
  • 19
    • 0004201980 scopus 로고
    • The Laplace Transform
    • Princeton Mathematical Series Princeton Univ. Press
    • D.V. Widder, The Laplace Transform, in: Princeton Mathematical Series, Princeton Univ. Press, 1972.
    • (1972)
    • Widder, D.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.