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Approximate solution of time-fractional fuzzy partial differential equations

  • Mehmet SenolEmail author
  • Sevda Atpinar
  • Zarife Zararsiz
  • Soheil Salahshour
  • Ali Ahmadian
Article
  • 119 Downloads

Abstract

In this study, we develop perturbation–iteration algorithm (PIA) for numerical solutions of some types of fuzzy fractional partial differential equations (FFPDEs) with generalized Hukuhara derivative. We also present the convergence analysis of the method. The proposed approach reveals fast convergence rate and accuracy of the present method when compared with exact solutions of crisp problems. The main efficiency of this method is that while scaling support zone of uncertainty for the fractional partial differential equations, it eliminates over calculation and produces highly approximate and accurate results. Error analysis of the PIA for the FFPDEs is also illustrated within examples.

Keywords

Fractional partial differential equations Caputo \(H_{g}\)-derivative Perturbation–iteration algorithm 

Mathematics Subject Classification

26A33 34A12 35R11 35R13 

Notes

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2019

Authors and Affiliations

  • Mehmet Senol
    • 1
    Email author
  • Sevda Atpinar
    • 1
  • Zarife Zararsiz
    • 1
  • Soheil Salahshour
    • 2
  • Ali Ahmadian
    • 3
  1. 1.Department of MathematicsNevşehir Hacı Bektaş Veli UniversityNevşehirTurkey
  2. 2.Young Researchers and Elite Club, Mobarakeh BranchIslamic Azad UniversityMobarakehIran
  3. 3.Institute for Mathematical ResearchUniversiti Putra MalaysiaSerdangMalaysia

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