Yazarlar

• Merdan, Mehmet(3)
• Merdan, M.(1)

• MakaleYalnız künye2015/r/gumushane/15671
  On the solutions of time-fractio3nal generalized hirota-satsuma coupled-KDV equation with modified riemann-liouville derivative by an analytical technique

  Merdan, Mehmet

  In this paper, the fractional variational iteration method (FVIM) was implemented to solve timefractional generalized Hirota-Satsuma coupled-KDV equation with modified Riemann-Liouville derivative. A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for these equations. It is indicated that the solutions obtained by the FVIM are reliable and effective method for strongly nonlinear couple partial equations with modified Riemann-Liouville derivative. The effects of different fractional derivative for the coupled system are investigated.

  AtıfScopus13·WoS13

  İncele
• Derleme MakaleYalnız künye2014Scopus SJRQ2/r/gumushane/15783
  On the solutions of nonlinear fractional Klein-Gordon equation with modified Riemann-Liouville derivative

  Merdan, Mehmet

  In this paper, fractional variational iteration method (FVIM) is applied for finding approximate analytical solutions of nonlinear fractional Klein-Gordon equation. Time-fractional derivative is described in the Riemann-Liouville sense. A new application of fractional variational iteration method (FVIM) is extended to derive analytical solutions in the form of a series for this equation. The behavior of the solutions and the effects of different values of fractional order α are indicated graphically. It is shown that the solutions obtained by the FVIM are reliable, convenient and effective for strongly nonlinear partial equations with modified Riemann-Liouville derivative.

  AtıfScopus11·WoS11

  İncele
• MakaleAçık Erişim2013Scopus SJRQ1/r/gumushane/15662
  A numeric-analytic method for time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative

  Merdan, Mehmet

  In this paper, the fractional variational iteration method (FVIM) was applied to obtain the approximate solutions of time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative. A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for these equations. Numerical results showed the FVIM is powerful, reliable and effective method when applied strongly nonlinear equations with modified Riemann-Liouville derivative.

  AtıfScopus27·WoS20·OpenAlex25

  İncele
• MakaleYalnız künye2013Scopus SJRQ3/r/gumushane/15584
  Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method

  Merdan, M.

  In this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modified Riemann-Liouville derivative was obtained with the help of fractional variational iteration method (FVIM). A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for this equation. It is indicated that the solutions obtained by the FVIM are reliable and an effective method for strongly nonlinear partial equations with modified Riemann-Liouville derivative.

  AtıfScopus15·WoS15

  İncele