Fractional Calculus and Its Applications
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.
| Erscheint lt. Verlag | 29.4.1975 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | VI, 386 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 591 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Schlagworte | Algebra • Calculus • Equation • Function • Gebrochene Differentiation • Gebrochene Integration |
| ISBN-13 | 9783540071617 / 9783540071617 |
| Zustand | Neuware |
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