FRACTIONAL VARIATIONAL ITERATION METHOD FOR TIME-FRACTIONAL NON-LINEAR FUNCTIONAL PARTIAL DIFFERENTIAL EQUATION HAVING PROPORTIONAL DELAYS
作者: Derya Doğan Durgun Ali Konuralp
刊名: Thermal Science, 2018, Vol.22 (Supplement), pp.S33-S46
来源数据库: Society for Thermal Engineers of Serbia
DOI: https://doi.org/10.2298/TSCI170612269D
关键词: Modified Riemann-Liouville derivativeProportional delaysTime-fractional pdeFractional variational iteration method
原始语种摘要: In this paper, time-fractional non-linear partial differential equation with proportional delays are solved by fractional variational iteration method taking into account modified Riemann-Liouville fractional derivative. The numerical solutions which are calculated by using this method are better than those obtained by homotopy perturbation method and differential transform method with same data set and approximation order. On the other hand, to improve the solutions obtained by fractional variational iteration method, residual error function is used. With this additional process, the resulting approximate solutions are getting closer to the exact solutions. The results obtained by taking into account different values of variables in the domain are supported by compared tables and...
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关键词翻译
关键词翻译
  • variational 变化的
  • fractional 分级的
  • iteration 迭代
  • graphics 图形
  • approximate 近似的
  • proportional 成比例的
  • detail 详情
  • derivative 衍生物
  • closer 闭合器
  • exact 精确