The purpose of this study is to establish a semi analytical solution for time fractional linear or nonlinear mathematical problems by utilizing Shehu Variational Iteration Method (SVIM). SVIM is made up of two methods, called Shehu transform (ST) and variational iteration method (VIM). First of all, the time fractional differential equation is transformed into integer order differential equation by means of ST. Later, by taking VIM into account the solution of linear or nonlinear mathematical problem is acquired. The convergence analysis of the semi analytical solution is investigated and proves that SVIM is an accurate and effective method for fractional mathematical problems. The illustrated examples support analysis of this method.
Liouville-Caputo Derivative Nonlinear Mathematical Problem Shehu Transform Variational Iteration Method
Birincil Dil | İngilizce |
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Konular | Uygulamalı Matematik |
Bölüm | Articles |
Yazarlar | |
Erken Görünüm Tarihi | 29 Nisan 2024 |
Yayımlanma Tarihi | 30 Nisan 2024 |
Gönderilme Tarihi | 30 Mayıs 2022 |
Kabul Tarihi | 12 Temmuz 2023 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 12 Sayı: 1 |