Fractional calculus and its applications : proceedings of the international conference held at the University of New Haven, June, 1974
著者
書誌事項
Fractional calculus and its applications : proceedings of the international conference held at the University of New Haven, June, 1974
（Lecture notes in mathematics, 457）
Springer-Verlag, 1975
- : u.s.
- : gw
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注記
Includes bibliographical references
内容説明・目次
目次
A brief history and exposition of the fundamental theory of fractional calculus.- The use in mathematical physics of Erdelyi-Kober operators and of some of their generalizations.- The weyl fractional calculus.- H-R transform in two dimensions and some of its applications to partial differential equations.- Inequalities via fractional integration.- An access to fractional differentiation via fractional difference quotients.- A family of integral representations for the solution of the diffusion equation.- Fractional integrals of generalized functions.- The fractional derivative and entire functions.- Formulas of the dirichlet-mehler type.- A child's garden of special functions.- An algebraic definition of fractional differentiation.- Generalized poisson integrals and regularity of functions.- Fractional spaces of temperate distribution.- Applications of fractional calculus to spherical (radial) probability models and generalizations.- A problem of hyperstereology.- A hypergeometric integral equation.- Application of fractional differentiation to the modeling of hodograph linearities.- Fractional calculus in the operator field of generalized functions.- A functional relation.- On moments of probability distribution functions.- Fractional integration of fundamental solutions.- Fundamental properties of fractional derivatives via pochhammer integrals.- On the recent trends in the development, theory and applications of fractional calculus.- Open questions for research.
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