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Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

Authors: Srivastava, H. M.; Golmankhaneh, Alireza Khalili; Baleanu, Dumitru; Yang, Xiao-Jun;
doi: 10.1155/2014/620529
Abstract
Local fractional derivatives were investigated intensively during the last few years. The coupling method of Sumudu transform and local fractional calculus (called as the local fractional Sumudu transform) was suggested in this paper. The presented method is applied to find the nondifferentiable analytical solutions for initial value problems with local fractional derivative. The obtained results are given to show the advantages.
Related Organizations
- Department of Mathematics and Statistics University of Victoria Canada
- Department of Mathematics and Statistics Queens University Canada
- Çankaya University Turkey
- Islamic Azad University of Falavarjan Iran (Islamic Republic of)
- University of Victoria Canada
Keywords
QA1-939, Mathematics
QA1-939, Mathematics
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).68 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%

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citations
Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
popularity
Popularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
68
Top 10%
Top 10%
Top 10%
gold
Fields of Science (3) View all
Related to Research communities
Energy Research