Fractional Calculus and Its Applications: Proceedings of the International Conference held at the University of New Haven, June 1974 (Lecture Notes in Mathematics (457))

Proceedings of the International Conference Held at the University of New Haven, June 1974 A brief history and exposition of the fundamental theory of fractional calculus....Pages 1-36 The use in mathematical physics of Erdélyi-Kober operators and of some of their generalizations....Pages 37-79 The weyl fractional calculus....Pages 80-89 H-R transform in two dimensions and some of its applications to partial differential equations....Pages 91-105 Inequalities via fractional integration....Pages 106-115 An access to fractional differentiation via fractional difference quotients....Pages 116-145 A family of integral representations for the solution of the diffusion equation....Pages 146-150 Fractional integrals of generalized functions....Pages 151-170 The fractional derivative and entire functions....Pages 171-206 Formulas of the dirichlet-mehler type....Pages 207-215 A child's garden of special functions....Pages 216-225 An algebraic definition of fractional differentiation....Pages 226-231 Generalized poisson integrals and regularity of functions....Pages 232-248 Fractional spaces of temperate distribution....Pages 249-255 Applications of fractional calculus to spherical (radial) probability models and generalizations....Pages 256-266 A problem of hyperstereology....Pages 267-271 A hypergeometric integral equation....Pages 272-288 Application of fractional differentiation to the modeling of hodograph linearities....Pages 289-293 Fractional calculus in the operator field of generalized functions....Pages 294-297 A functional relation....Pages 298-305 On moments of probability distribution functions....Pages 306-316 Fractional integration of fundamental solutions....Pages 317-322 Fundamental properties of fractional derivatives via pochhammer integrals....Pages 323-356 On the recent trends in the development, theory and applications of fractional calculus....Pages 357-375 Open questions for research....Pages 376-381 Will be * from US. Used books may not include companion materials, may have some shelf wear, may contain highlighting/notes, may not include CDs or access codes. 100% * . Will be * from US. Used books may not include companion materials, may have some shelf wear, may contain highlighting/notes, may not include CDs or access codes. 100% * . Edited By Bertram Ross. Includes Bibliographical References.