Yazarlar

• Anac, Halil(2)
• Alkan, Aslı(1)
• Anaç, Halil(1)
• Duman, O.(1)
• Erkus-Duman, E.(1)
• Kesemen, Tulay(1)
• Merdan, Mehmet(1)

• BildiriAçık Erişim2026Scopus SJRQ4/r/gumushane/13805
  The New Numerical Solutions of the Atangana-Baleanu Fractional Benney Equation

  Alkan, Aslı; Anaç, Halil; Duman, O.; Erkus-Duman, E.

  This study focuses on the novel Atangana-Baleanu method employed to obtain new numerical solutions for the Benney equation with Atangana-Baleanu fractional derivatives. The Atangana-Baleanu q-Elzaki homotopy analysis transform method is used to numerically solve this equation. This paper presents an investigation of the numerical solutions obtained using this technique. Furthermore, the proposed method has been subjected to numerical simulation using Maple software, considering different fractional orders.

  İncele
• MakaleAçık Erişim2022Scopus SJRQ2/r/gumushane/14411
  Homotopy Perturbation Elzaki Transform Method for Obtaining the Approximate Solutions of the Random Partial Differential Equations

  Anac, Halil; Merdan, Mehmet; Kesemen, Tulay

  The series solutions of the random nonlinear partial differential equations have been examined by a hybrid method. The random nonlinear partial differential equations are studied by both normal and uniform distributions. Two initial-value problems are indicated to exemplify the influence of the solutions acquired by the hybrid method. Also, the functions for the first and second moments of the approximate solutions of random nonlinear partial differential equations are acquired in the MAPLE software. The hybrid method is implemented to analyze the solutions of the random nonlinear partial differential equations. MAPLE software is used to find the solutions. Besides, MAPLE software is used for the drawing the figures.

  AtıfScopus7·WoS6·OpenAlex10

  İncele
• MakaleYayıncıda açık erişim2022Scopus SJRQ2/r/gumushane/11910
  A Local Fractional Elzaki Transform Decomposition Method for the Nonlinear System of Local Fractional Partial Differential Equations

  Anac, Halil

  In this paper, the nonlinear system of local fractional partial differential equations is solved via local fractional Elzaki transform decomposition method. The local fractional Elzaki decomposition transform method combines a local fractional Elzaki transform and the Adomian decomposition method. Applications related to the nonlinear system of local fractional partial differential equations are presented.

  AtıfScopus10·WoS10·OpenAlex9

  İncele