A Hybrid Computational Approach for Klein-Gordon Equations on Cantor Sets

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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

Keywords

Local Fractional Sumudu Transform, Homotopy Perturbation Technique, Local Fractional Derivative, Klein-Gordon Equations, Cantor Sets, Klein– Gordon Equations, 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

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106

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87

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1

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511

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517
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