Nonlinear Dynamics

, Volume 87, Issue 1, pp 511–517 | Cite as

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

  • Devendra KumarEmail author
  • Jagdev Singh
  • Dumitru Baleanu
Original Paper


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.


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


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • Devendra Kumar
    • 1
    Email author
  • Jagdev Singh
    • 1
  • Dumitru Baleanu
    • 2
    • 3
  1. 1.Department of MathematicsJECRC UniversityJaipurIndia
  2. 2.Department of Mathematics, Faculty of Arts and SciencesCankaya UniversityEtimesgutTurkey
  3. 3.Institute of Space SciencesMagurele, BucharestRomania

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