Matches in SemOpenAlex for { <https://semopenalex.org/work/W200328819> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W200328819 endingPage "298" @default.
- W200328819 startingPage "287" @default.
- W200328819 abstract "The aim of this article is to present a practical introduction to fractional calculus. Fractional calculus is an old mathematical subject concerned with fractional derivatives. Fractional derivatives used in this paper are restricted to the Riemann-Liouville type. Based on the Riemann-Liouville calculus, we formulate fractional differential equations. Fractional differential equations are applied to models in relaxation and diffusion problems. Fractional calculus is used to formulate and to solve different physical models allowing a continuous transition from relaxation to oscillation phenomena. An application to an anomalous diffusion process demonstrates that the method used is also useful for more than one independent variable. Based on the theory of fractional derivatives and linear transformation theory, we demonstrate how symbolic calculations on a computer can be used to support practical calculations. The symbolic program FractionalCalculus based on Mathematica is used to demonstrate the solution of fractional differential equations step by step. The key method applied is linear transformation theory in connection with generalized functions." @default.
- W200328819 created "2016-06-24" @default.
- W200328819 creator A5065993080 @default.
- W200328819 date "2006-01-01" @default.
- W200328819 modified "2023-09-26" @default.
- W200328819 title "Fractional Calculus and Symbolic Solution of Fractional Differential Equations" @default.
- W200328819 cites W1973950856 @default.
- W200328819 cites W1990433225 @default.
- W200328819 cites W2013319626 @default.
- W200328819 cites W2013855261 @default.
- W200328819 cites W2015260916 @default.
- W200328819 cites W2020038537 @default.
- W200328819 cites W2025843255 @default.
- W200328819 cites W2060675827 @default.
- W200328819 cites W2067855936 @default.
- W200328819 cites W2079905092 @default.
- W200328819 cites W2094706142 @default.
- W200328819 cites W2111271983 @default.
- W200328819 cites W2754418952 @default.
- W200328819 doi "https://doi.org/10.1007/3-7643-7412-8_28" @default.
- W200328819 hasPublicationYear "2006" @default.
- W200328819 type Work @default.
- W200328819 sameAs 200328819 @default.
- W200328819 citedByCount "6" @default.
- W200328819 countsByYear W2003288192012 @default.
- W200328819 countsByYear W2003288192014 @default.
- W200328819 countsByYear W2003288192016 @default.
- W200328819 crossrefType "book-chapter" @default.
- W200328819 hasAuthorship W200328819A5065993080 @default.
- W200328819 hasConcept C117312493 @default.
- W200328819 hasConcept C127413603 @default.
- W200328819 hasConcept C133731056 @default.
- W200328819 hasConcept C134306372 @default.
- W200328819 hasConcept C154249771 @default.
- W200328819 hasConcept C15744967 @default.
- W200328819 hasConcept C199343813 @default.
- W200328819 hasConcept C2776029896 @default.
- W200328819 hasConcept C2777686260 @default.
- W200328819 hasConcept C28826006 @default.
- W200328819 hasConcept C33695381 @default.
- W200328819 hasConcept C33923547 @default.
- W200328819 hasConcept C71924100 @default.
- W200328819 hasConcept C77805123 @default.
- W200328819 hasConcept C78045399 @default.
- W200328819 hasConceptScore W200328819C117312493 @default.
- W200328819 hasConceptScore W200328819C127413603 @default.
- W200328819 hasConceptScore W200328819C133731056 @default.
- W200328819 hasConceptScore W200328819C134306372 @default.
- W200328819 hasConceptScore W200328819C154249771 @default.
- W200328819 hasConceptScore W200328819C15744967 @default.
- W200328819 hasConceptScore W200328819C199343813 @default.
- W200328819 hasConceptScore W200328819C2776029896 @default.
- W200328819 hasConceptScore W200328819C2777686260 @default.
- W200328819 hasConceptScore W200328819C28826006 @default.
- W200328819 hasConceptScore W200328819C33695381 @default.
- W200328819 hasConceptScore W200328819C33923547 @default.
- W200328819 hasConceptScore W200328819C71924100 @default.
- W200328819 hasConceptScore W200328819C77805123 @default.
- W200328819 hasConceptScore W200328819C78045399 @default.
- W200328819 hasLocation W2003288191 @default.
- W200328819 hasOpenAccess W200328819 @default.
- W200328819 hasPrimaryLocation W2003288191 @default.
- W200328819 hasRelatedWork W1987286335 @default.
- W200328819 hasRelatedWork W2052284190 @default.
- W200328819 hasRelatedWork W2086778415 @default.
- W200328819 hasRelatedWork W2169720740 @default.
- W200328819 hasRelatedWork W2186058802 @default.
- W200328819 hasRelatedWork W3084844296 @default.
- W200328819 hasRelatedWork W3087235209 @default.
- W200328819 hasRelatedWork W3168865234 @default.
- W200328819 hasRelatedWork W4226345346 @default.
- W200328819 hasRelatedWork W2494428131 @default.
- W200328819 isParatext "false" @default.
- W200328819 isRetracted "false" @default.
- W200328819 magId "200328819" @default.
- W200328819 workType "book-chapter" @default.