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Yayınlar
- MakaleAçık Erişim2023On Data Dependency and Solutions of Nonlinear Fredholm Integral Equations with the Three-Step Iteration Method
Cona, Lale; Şengül, Kadir
In this study, the solution of the second type of homogeneous nonlinear Fredholm integral equations is investigated using a three-step iteration algorithm. In other words, it has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Also, data dependency is obtained for the second type of homogeneous nonlinear Fredholm integral equations and this result is supported by an example.
- MakaleAçık Erişim2023The Numerical Solutions of the Conformable Time-Fractional Noyes Field Model via a New Hybrid Method
Öner, Bedir Kaan; Anaç, Halil
This article employs a novel method, namely the conformable q-Sawi homotopy analysis transform method (Cq-SHATM) to investigate the numerical solutions of the nonlinear conformable time-fractional Noyes-Field model. The proposed method, namely Cq-SHATM, is a hybrid approach that integrates the q-homotopy analysis transform method and the Sawi transform using the concept of conformable derivative. 3D graps of the solutions obtained with this method were drawn. Additionally, 2D graphs of the solutions were obtained in the Maple software program. The computer simulations were conducted in order to validate the efficacy and reliability of the proposed method.
- MakaleAçık Erişim2022Conformable Fractional Elzaki Decomposition Method of Conformable Fractional Space-Time Fractional Telegraph Equations
Anaç, Halil
Conformable space-time fractional linear telegraph equations are examined using a new method known as conformable fractional Elzaki decomposition method. The suggested method combines the Adomian decomposition method with the conformable fractional Elzaki transform. It is found that numerical simulations confirm the effectiveness and reliability of the proposed method.
- DergiIkonion Journal of Mathematics