FRACTIONAL CAPUTO HEAT EQUATION WITHIN THE DOUBLE LAPLACE TRANSFORM

Anwar A. M. O., Jarad F., Baleanu D., Ayaz F.

ROMANIAN JOURNAL OF PHYSICS, cilt.58, ss.15-22, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58
  • Basım Tarihi: 2013
  • Dergi Adı: ROMANIAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.15-22
  • Anahtar Kelimeler: Fractional integral, Caputo fractional derivative, Laplace transform
  • Gazi Üniversitesi Adresli: Evet

Özet

The heat equation and its fractional generalization are used in various applications in science and engineering. In this paper firstly we introduce the double Laplace transform of the partial fractional integrals and derivatives which can be used to solve partial differential equations with Caputo fractional derivatives. Secondly, the fractional heat equation was investigated in details with the help of this new generalized transform