Solutions of Fuzzy Time Fractional Heat Equation

ÇETİNKAYA S., DEMİR A.

Journal of Mathematical Extension, cilt.22, sa.6, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 6
  • Basım Tarihi: 2022
  • Dergi Adı: Journal of Mathematical Extension
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Anahtar Kelimeler: Fuzzy time fractional heat equation, Homotopy analysis method, Fuzzy Sumudu transformation, MATRIX
  • Kocaeli Üniversitesi Adresli: Evet

Özet

Fuzzy fractional heat equations (FFHEs) are utilized to analyze the behaviour of the certain phenomena in various mathematical and scientific models. The main goal of this paper is to construct the solution of fuzzy fractional heat equations by taking a reliable recipe of Sumudu transformation method and homotopy analysis method into account. These method allow us to remove the difficulties and restrictions confronted in other methods. The feasibility of this method is confirmed by given numerical examples. The result presented that the proposed method is suitable, powerful and reliable for obtaining the solution of fuzzy fractional problems with FFHEs.