Literature DB >> 23547235

Fractional calculus and its applications.

Changpin Li1, YangQuan Chen, Jürgen Kurths.   

Abstract

Entities:  

Year:  2013        PMID： 23547235      PMCID： PMC3638375          DOI： 10.1098/rsta.2013.0037

Source DB:  PubMed          Journal:  Philos Trans A Math Phys Eng Sci        ISSN： 1364-503X            Impact factor:   4.226


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  13 in total

1.  Application of the principal fractional meta-trigonometric functions for the solution of linear commensurate-order time-invariant fractional differential equations.

Authors:  C F Lorenzo; T T Hartley; R Malti
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-04-01       Impact factor: 4.226

2.  A semi-discrete finite element method for a class of time-fractional diffusion equations.

Authors:  HongGuang Sun; Wen Chen; K Y Sze
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-04-01       Impact factor: 4.226

3.  On reflection symmetry and its application to the Euler-Lagrange equations in fractional mechanics.

Authors:  Małgorzata Klimek
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-04-01       Impact factor: 4.226

4.  Modelling heat transfer in heterogeneous media using fractional calculus.

Authors:  Dominik Sierociuk; Andrzej Dzielinski; Grzegorz Sarwas; Ivo Petras; Igor Podlubny; Tomas Skovranek
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-04-01       Impact factor: 4.226

5.  Equivalent system for a multiple-rational-order fractional differential system.

Authors:  Changpin Li; Fengrong Zhang; Jürgen Kurths; Fanhai Zeng
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-04-01       Impact factor: 4.226

6.  A high-speed algorithm for computation of fractional differentiation and fractional integration.

Authors:  Masataka Fukunaga; Nobuyuki Shimizu
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-04-01       Impact factor: 4.226

7.  Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation.

Authors:  Qiang Yu; Fawang Liu; Ian Turner; Kevin Burrage
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-04-01       Impact factor: 4.226

8.  Some existence results on nonlinear fractional differential equations.

Authors:  Dumitru Baleanu; Shahram Rezapour; Hakimeh Mohammadi
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-04-01       Impact factor: 4.226

9.  Chaos synchronization in fractional differential systems.

Authors:  Fengrong Zhang; Guanrong Chen; Changpin Li; Jürgen Kurths
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-04-01       Impact factor: 4.226

10.  Fractional-order variational optical flow model for motion estimation.

Authors:  Dali Chen; Hu Sheng; YangQuan Chen; Dingyü Xue
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-04-01       Impact factor: 4.226
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