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Approximate solution of time-fractional fuzzy partial differential equations

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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.

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Authors and Affiliations

  1. Department of Mathematics, Nevşehir Hacı Bektaş Veli University, Nevşehir, Turkey

    Mehmet Senol, Sevda Atpinar & Zarife Zararsiz

  2. Young Researchers and Elite Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran

    Soheil Salahshour

  3. Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

    Ali Ahmadian

Authors
  1. Mehmet Senol
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  2. Sevda Atpinar
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  3. Zarife Zararsiz
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  4. Soheil Salahshour
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  5. Ali Ahmadian
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Correspondence to Mehmet Senol.

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Communicated by Marcos Eduardo Valle.

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Senol, M., Atpinar, S., Zararsiz, Z. et al. Approximate solution of time-fractional fuzzy partial differential equations. Comp. Appl. Math. 38, 18 (2019). https://doi.org/10.1007/s40314-019-0796-6

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  • DOI: https://doi.org/10.1007/s40314-019-0796-6

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