Yazarlar

• Anaç, Halil(2)
• Bektaş, Umut(1)

• Kitap BölümüYalnız künye2025Scopus SJRQ4/r/gumushane/14319
  The Robust Method for Solving the Conformable Time-Fractional Klein–Gordon Equation

  Anaç, Halil

  The present study used the conformable fractional q-Shehu homotopy analysis transform method to investigate the conformable time-fractional Klein–Gordon equations with proportional delay. The numerical answers to this problem are graphed using Maple software. The efficacy and consistency of the proposed method have been demonstrated through numerical simulations.

  İncele
• MakaleAçık Erişim2024Scopus SJRQ2/r/gumushane/14235
  A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation

  Bektaş, Umut; Anaç, Halil

  This paper solves fractional differential equations using the Shehu transform in combination with the q-homotopy analysis transform method (q-HATM). As the Shehu transform is only applicable to linear equations, q-HATM is an efficient technique for approximating solutions to nonlinear differential equations. In nonlinear systems that explain the emergence of stripes in 2D systems, the Newell–Whitehead–Segel equation plays a significant role. The findings indicate that the outcomes derived from the tables yield superior results compared to the existing LTDM in the literature. Maple is utilized to depict three-dimensional surfaces and find numerical values that are displayed in a table.

  AtıfScopus8·WoS6·OpenAlex4

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