Fractional Calculus and Its Applications

Proceedings of the International Conference held at the University of New Haven, June 1974
Herausgegeben:Ross, B.

• Broschiertes Buch

Produktbeschreibung

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

Produktdetails

• Lecture Notes in Mathematics 457
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-07161-7
• 1975.
• Seitenzahl: 392
• Erscheinungstermin: 29. April 1975
• Englisch
• Abmessung: 235mm x 155mm x 22mm
• Gewicht: 591g
• ISBN-13: 9783540071617
• ISBN-10: 354007161X
• Artikelnr.: 23523729

Inhaltsangabe

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.