Fractional Integrals and Derivatives
Theory and Applications
1st Edition
Published on 8. December 1993
Book
Hardback
1016 pages
978-2-88124-864-1 (ISBN)
Description
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.
More details
Language
English
Place of publication
London
United Kingdom
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 248 mm
Width: 174 mm
Weight
1701 gr
ISBN-13
978-2-88124-864-1 (9782881248641)
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Schweitzer Classification
Persons
Content
Fractional integrals and derivatives on an interval; fractional integrals and derivatives on the real axis and half-axis; further properties of fractional integrals and derivatives; other forms of fractional integrals and derivatives; fractional integrodifferentiation of functions of many variables; applications to integral equations of the first kind with power and power-logarithmic kernels; integral equations fo the first kind with special function kernels; applications to differential equations.