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

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Detalhes bibliográficos
Outros Autores: Ross, Bertram (Directeur de la publication)
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Colecção:Lecture notes in mathematics 457
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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
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245 0 0 |a Fractional calculus and its applications :  |b proceedings of the International conference held at the University of New Haven, June 1974   |c ed. by Bertram Ross. 
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490 0 |a Lecture notes in mathematics  |v 457  |x 1617-9692 
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505 0 |a 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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