A hybrid computational approach for Klein–Gordon equations on Cantor sets

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• 作者：Devendra Kumar ; Jagdev Singh ; Dumitru Baleanu
• 关键词：Local fractional Sumudu transform ; Homotopy perturbation technique ; Local fractional derivative ; Klein– Gordon equations ; Cantor sets
• 刊名：Nonlinear Dynamics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：87
• 期：1
• 页码：511-517
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：87

文摘

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.