Numerical solution of time-fractional nonlinear PDEs with proportional delays by homotopy perturbation method

Sakar M. G., Uludağ F., Erdoğan F.

APPLIED MATHEMATICAL MODELLING, cilt.40, ss.6639-6649, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.apm.2016.02.005
  • Dergi Adı: APPLIED MATHEMATICAL MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6639-6649
  • Anahtar Kelimeler: Homotopy perturbation method, Fractional partial differential equation, Proportional delay, Caputo derivative, DIFFERENTIAL-EQUATIONS, DIFFUSION-EQUATIONS, ITERATION METHOD, WAVE, CALCULUS
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, homotopy perturbation method (HPM) is applied to solve fractional partial differential equations (PDEs) with proportional delay in t and shrinking in x. The method do not require linearization or small perturbation. The fractional derivatives are taken in the Caputo sense. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of alpha are presented graphically. (C) 2016 Elsevier Inc. All rights reserved.

In this paper, homotopy perturbation method (HPM) is applied to solve fractional partial differential equations (PDEs) with proportional delay in t and shrinking in x. The method do not require linearization or small perturbation. The fractional derivatives are taken in the Caputo sense. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of α are presented graphically.