NEW SOLUTION OF CONFORMABLE FORNBERG-WHITHAM DIFFERENTIAL EQUATION VIA CONFORMABLE SUMUDU DECOMPOSITION METHOD

Alfaqeih S., Bakicierler G., Misirli E.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.12, sa.2, ss.714-723, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2022
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.714-723
  • Anahtar Kelimeler: Conformable fractional derivative (CFD), Fornberg-Whitham equation, Adomian decomposition method (ADM), Sumudu transform (ST), Laplace transform (LT), TRANSFORM METHOD
  • Marmara Üniversitesi Adresli: Hayır

Özet

In this work, a new analytical method called the conformable Sumudu decomposition method is introduced to obtain approximate solutions of fractional Fornberg-Whitham differential equation. The proposed method is a combination between conformable Sumudu integral transform and the Adomian decomposition method. The fractional derivatives are taken in terms of the conformable sense. In order to demonstrate the applicability, efficiency and simplicity of the presented method, we compare the behavior of the obtained approximate solutions with the exact solution given in the literature.