Fractional Calculus and Its Applications
Fractional Calculus and Its Applications Proceedings of the International Conference Held at the University of New Haven, June 1974 / [electronic resource] :
edited by Bertram Ross.
- VI, 386 p. online resource.
- Lecture Notes in Mathematics, 457 0075-8434 ; .
- Lecture Notes in Mathematics, 457 .
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.
9783540699750
10.1007/BFb0067095 doi
Mathematics.
Mathematics, general.
QA1-939
510
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.
9783540699750
10.1007/BFb0067095 doi
Mathematics.
Mathematics, general.
QA1-939
510