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.
- ISBN10 2881248640
- ISBN13 9782881248641
- Publish Date 8 December 1993
- Publish Status Out of Print
- Out of Print 8 January 2005
- Publish Country GB
- Imprint Taylor & Francis Ltd
- Format Hardcover
- Pages 1016
- Language English