A Numerical Scheme Based on Taylor Wavelets for Solving Fractional Differential Equations

Çınar M., Seçer A.

International E-Conference on Mathematical Advances and Applications, İstanbul, Türkiye, 26 - 29 Mayıs 2021, ss.1-18, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.1-18
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this study, an effective algorithm is proposed for solving fractional-order differential equations. The algorithm is based on Taylor wavelets. The operational matrices of fractional integrals are utilized to transform the fractional differential equation to an algebraic equations system.  Illustrative examples are included to show the effectiveness of the method.