Fractional integrals and derivatives: theory and...

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Fractional integrals and derivatives:...

Fractional integrals and derivatives: theory and applications

Name: Fractional integrals and derivatives: theory and applications
ISBN: 9782881248641

Stefan Grigorʹevich Samko, Anatoliĭ Aleksandrovich Kilbas, Oleg Igorevich Marichev

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This monograph is devoted to the systematic and comprehensive exposition of classical and modern results in the theory of fractional integrals and their applications. Various aspects of this theory, such as functions of one and several variables, periodical and non-periodical cases, and the technique of hypersingular integrals are studied. All existing types of fractional integro-differentiation are examined and compared. The applications of fractional calculus to first order integral equations with power and power logarithmic kernels, and with special functions in kernels and to Euler-Poisson-Darboux's type equations and differential equations of fractional order are discussed. The text should be of use not only to graduates and postgraduates of mathematical physics and engineering, but also to specialists in the field.

カテゴリー:

Mathematics - Analysis

年:

1993

版:

出版社:

Gordon and Breach Science Publishers

言語:

english

ページ:

1014

ISBN 10: