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Fractional Calculus and Its Applications: Proceedings of the International Conference Held at the University of New Haven, June 1974 by B. Ross

Fractional Calculus and Its Applications: Proceedings of the International Conference Held at the University of New Haven, June 1974

by B. Ross
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Book cover type: Paperback
  • ISBN13: 9783540071617
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 386
  • Original Price: GBP 35.99
  • Language: English
  • Edition: 1975
  • Item Weight: 549 grams
  • BISAC Subject(s): General

A brief history and exposition of the fundamental theory of fractional calculus.- The use in mathematical physics of Erdélyi-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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