4.7 Article

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

Journal

NONLINEAR DYNAMICS
Volume 87, Issue 1, Pages 511-517

Publisher

SPRINGER
DOI: 10.1007/s11071-016-3057-x

Keywords

Local fractional Sumudu transform; Homotopy perturbation technique; Local fractional derivative; Klein-Gordon equations; Cantor sets

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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.

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