Fractional calculus and its applications : proceedings of the International conference held at the University of New Haven, June 1974

Uloženo v:
Podrobná bibliografie
Další autoři: Ross, Bertram (Šéfredaktor, odpovědný redaktor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in mathematics 457
Témata:
On-line přístup:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Poznámka: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Fractional calculus and its applications, proceedings of the International conference held at the University of New Haven, June 1974, ed. by Bertram Ross, 1975, Berlin [etc.], Springer, 1 vol. (VI-381 p.), Lecture notes in mathematics, 3-540-07161-X
• Fractional Calculus and Its Applications, Texte imprimé, 9783662176993
Obsah:
  • 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.