A Hybrid Computational Approach for Klein-Gordon Equations on Cantor Sets
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 1%
Influence
Top 1%
Popularity
Top 1%
Abstract
In this letter, we present a hybrid computational approach established on local fractional Sumudu transform method and homotopy perturbation technique to procure the solution of the Klein-Gordon equations on Cantor sets. Four examples are provided to show the accuracy and coherence of the proposed technique. The outcomes disclose that the present computational approach is very user friendly and efficient to compute the nondifferentiable solution of Klein-Gordon equation involving local fractional operator.
Description
Kumar, Devendra/0000-0003-4249-6326
ORCID
Keywords
Local Fractional Sumudu Transform, Homotopy Perturbation Technique, Local Fractional Derivative, Klein-Gordon Equations, Cantor Sets, Klein- Gordon equations, local fractional Sumudu transform, local fractional derivative, Cantor sets, homotopy perturbation technique, Fractional partial differential equations, PDEs in connection with quantum mechanics
Fields of Science
0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences
Citation
Kumar, D., Singh J., Baleanu, D. (2017). A hybrid computational approach for Klein-Gordon equations on Cantor sets. Nonlinear Dynamics, 87(1), 511-517. http://dx.doi.org/ 10.1007/s11071-016-3057-x
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
106
Source
Nonlinear Dynamics
Volume
87
Issue
1
Start Page
511
End Page
517
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Citations
CrossRef : 32
Scopus : 129
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Mendeley Readers : 13
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