Yazarlar

• Güngör, Nihan(2)

• MakaleYalnız künye2022Scopus SJRQ2/r/gumushane/11396
  A note on linear non-Newtonian Volterra integral equations

  Güngör, Nihan

  In this study, the Volterra integral equations are defined in the non-Newtonian calculus with the aid of ∗ -integral. The focus of this study is obtaining the solution of linear non-Newtonian integral equations. The ∗ -resolvent kernel method, successive approximations method and Adomian decomposition method are applied for solving non-Newtonian integral equations in the non-Newtonian sense. Some numerical examples are presented to explain the procedure of these methods. Finally, a model that describes a type of the exponential growth model is proposed in the sense of non-Newtonian calculus as an example.

  AtıfScopus8·WoS8·OpenAlex7

  İncele
• MakaleAçık Erişim2021/r/gumushane/11307
  Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method

  Güngör, Nihan

  In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration for the bigeometric continuity and the uniqueness of the solution of linear bigeometric Volterra integral equations of the second kind are researched. Finally, some numerical examples are presented to illustrate successive approximations method.

  AtıfScopus1·OpenAlex1·TR Dizin1

  İncele