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

Anatoly A. Kilbas ()
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Anatoly A. Kilbas: Belarusian State University

A chapter in Factorization, Singular Operators and Related Problems, 2003, pp 131-149 from Springer

Abstract: 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.

Keywords: Fractional calculus; integral and differential equations of fractional order; Cauchy-type problem; Volterra integral equation; Laplace transform; operational calculus and compositional methods; Mittag-Leffler functions (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0227-0_10

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DOI: 10.1007/978-94-017-0227-0_10

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