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On variational properties of balanced central fractional derivatives
Xu, Y.F.; Sun, H. W.; Sheng, Q.
2018-06-01
Source PublicationInternational Journal of Computer Mathematics
ISSN0020-7160
Pages1195-1209
AbstractThis paper studies variational properties of naturally balanced fractional derivatives based on conventional left-sided and right-sided α-th order formulas, where α ∈ (12, 1). Approximations of fractional differential equations equipped with such naturally balanced fractional derivatives are investigated via Ritz–Galerkin approaches. It is found that not only the balanced fractional derivatives possess important variational properties, equations equipped with them exhibit desirable dynamic features as a Ritz–Galerkin formula being applied. Simulation experiments are given to illustrate our conclusions and results.
KeywordFractional derivatives left-sided and right-sided formulae fractional differential equations Ritz–Galerkin method weak solutions variational principal
Language英語English
The Source to ArticlePB_Publication
PUB ID35302
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorSun, H. W.
Recommended Citation
GB/T 7714
Xu, Y.F.,Sun, H. W.,Sheng, Q.. On variational properties of balanced central fractional derivatives[J]. International Journal of Computer Mathematics,2018:1195-1209.
APA Xu, Y.F.,Sun, H. W.,&Sheng, Q..(2018).On variational properties of balanced central fractional derivatives.International Journal of Computer Mathematics,1195-1209.
MLA Xu, Y.F.,et al."On variational properties of balanced central fractional derivatives".International Journal of Computer Mathematics (2018):1195-1209.
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