Local Fractional Sumudu Transform With Application To Ivps on Cantor Sets
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
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 non differentiable analytical solutions for initial value problems with local fractional derivative. The obtained results are given to show the advantages.
Description
Alireza/0000-0002-3490-7976; Yang, Xiao-Jun/0000-0003-0009-4599
Keywords
QA1-939, Mathematics, Fractals, Fractional derivatives and integrals, Laplace transform, Fractional ordinary differential equations, Theoretical approximation of solutions to ordinary differential equations
Fields of Science
0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology
Citation
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
41
Source
Abstract and Applied Analysis
Volume
2014
Issue
Start Page
1
End Page
7
PlumX Metrics
Citations
CrossRef : 16
Scopus : 73
Captures
Mendeley Readers : 8
SCOPUS™ Citations
80
checked on Feb 25, 2026
Web of Science™ Citations
43
checked on Feb 25, 2026
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