Abstract and Applied Analysis

Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets

H. M. Srivastava, Alireza Khalili Golmankhaneh, Dumitru Baleanu, and Xiao-Jun Yang

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 620529, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277017

Digital Object Identifier
doi:10.1155/2014/620529

Mathematical Reviews number (MathSciNet)
MR3216068

Zentralblatt MATH identifier
07022740

Citation

Srivastava, H. M.; Golmankhaneh, Alireza Khalili; Baleanu, Dumitru; Yang, Xiao-Jun. Local Fractional Sumudu Transform with Application to IVPs on Cantor Sets. Abstr. Appl. Anal. 2014 (2014), Article ID 620529, 7 pages. doi:10.1155/2014/620529. https://projecteuclid.org/euclid.aaa/1412277017


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