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

Author: Bertram Ross
Publisher: Berlin ; New York : Springer-Verlag, 1975.
Series: Lecture notes in mathematics (Springer-Verlag), 457.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
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Genre/Form: Electronic books
Conference papers and proceedings
Kongress
Congresses
Congrès
Additional Physical Format: Print version:
Fractional calculus and its applications.
Berlin ; New York : Springer-Verlag, 1975
(DLC) 75009905
(OCoLC)1288469
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bertram Ross
ISBN: 9783540699750 3540699759
OCLC Number: 289875123
Description: 1 online resource (vi, 381 pages).
Contents: 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 457.
Responsibility: edited by Bertram Ross.

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