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Some Problems in the Theory of Integral and Differential Equations of Fractional Order

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Factorization, Singular Operators and Related Problems

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Abstract

The paper is devoted to some aspects of the so-called integral and differential equations of fractional order in which an unknown function is contained under the operation of integration and differentiation of fractional order. Unified methods based on the Laplace transform, operational calculus and compositional relations are presented to study such linear integral and differential equations. Problems and new trends of research are discussed.

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Author information

Authors and Affiliations

  1. Belarusian State University, Belarus

    Anatoly A. Kilbas

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  1. Anatoly A. Kilbas
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Editors and Affiliations

  1. Universidade do Algarve, Faro, Portugal

    Stefan Samko

  2. Instituto Superior Técnico, Lisboa, Portugal

    Amarino Lebre  & António F. dos Santos  & 

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To Professor G. S. Litvinchuk on the occasion of his 70th birthday

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Kilbas, A.A. (2003). Some Problems in the Theory of Integral and Differential Equations of Fractional Order. In: Samko, S., Lebre, A., dos Santos, A.F. (eds) Factorization, Singular Operators and Related Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0227-0_10

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  • DOI: https://doi.org/10.1007/978-94-017-0227-0_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6333-5

  • Online ISBN: 978-94-017-0227-0

  • eBook Packages: Springer Book Archive

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