Analytical and approximate solutions of Fractional Partial Differential-Algebraic Equations

ÇELİK E., GÜNERHAN H.

Applied Mathematics and Nonlinear Sciences, cilt.5, sa.1, ss.109-120, 2020 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2478/amns.2020.1.00011
  • Dergi Adı: Applied Mathematics and Nonlinear Sciences
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Compendex, zbMATH, DIALNET
  • Sayfa Sayıları: ss.109-120
  • Anahtar Kelimeler: Fractional Differential Transform Method, Fractional Partial Differential-Algebraic Equations, Caputo fractional derivative, Approximate solution, TRANSFORM METHOD
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we have extended the Fractional Differential Transform method for the numerical solution of the system of fractional partial differential-algebraic equations. The system of partial differential-algebraic equations of fractional order is solved by the Fractional Differential Transform method. The results exhibit that the proposed method is very effective.