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

In: Factorization, Singular Operators and Related Problems

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  • Anatoly A. Kilbas

    (Belarusian State University)

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.

Suggested Citation

  • Anatoly A. Kilbas, 2003. "Some Problems in the Theory of Integral and Differential Equations of Fractional Order," Springer Books, in: Stefan Samko & Amarino Lebre & António F. dos Santos (ed.), Factorization, Singular Operators and Related Problems, pages 131-149, Springer.
  • Handle: RePEc:spr:sprchp:978-94-017-0227-0_10
    DOI: 10.1007/978-94-017-0227-0_10
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