On Applications Shehu Variational Iteration Method to Time Fractional Initial Boundary Value Problems

ÇETİNKAYA S., DEMİR A.

Konuralp Journal of Mathematics, cilt.12, sa.1, ss.13-20, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2024
  • Dergi Adı: Konuralp Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.13-20
  • Anahtar Kelimeler: Liouville-Caputo Derivative, Nonlinear Mathematical Problem, Shehu Transform, Variational Iteration Method
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.