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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0146

    • Keywords

       

      Fractional variational problems; Bernstein polynomials; Rayleigh–Ritz method.

    • Abstract

       

      The purpose of this paper is to suggest a numerical technique to solve fractional variational problems (FVPs). These problems are based on Caputo fractional derivatives. Rayleigh–Ritz method is used in this technique. First we approximate the objective function by the trapezoidal rule. Then, the unknown function is expanded in terms of the Bernstein polynomials. By this method, a system of algebraic equations is driven. We provide examples to show the effectiveness of this technique, which is considered in the current study.

    • Author Affiliations

       

      HALEH TAJADODI1 NEMATOLLAH KADKHODA2 HOSSEIN JAFARI3 4 MUSTAFA INC5 6

      1. Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
      2. Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaenat, Iran
      3. Department of Mathematics, University of Mazandaran, Babolsar, Iran
      4. Department of Mathematical Sciences, University of South Africa (UNISA), P.O. Box 392, Pretoria 0003, South Africa
      5. Department of Mathematics, Firat University, Elazig 23119, Turkey
      6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

    • Dates

       
      Published
      13 October 2020
      Manuscript received
      28 January 2020
      Manuscript revised
      12 May 2020
      Accepted
      1 July 2020
      Final version published online
      13 October 2020

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

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