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

Fractional Calculus and Its Applications: Proceedings of the International Conference Held at the University of New Haven, June 1974 /
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Field name Details
Dewey Class 510
Title Fractional Calculus and Its Applications ([EBook] :) : Proceedings of the International Conference Held at the University of New Haven, June 1974 / / edited by Bertram Ross.
Added Personal Name Ross, Bertram editor.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1975.
Physical Details VI, 386 p. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 457
ISBN 9783540699750
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0067095
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