A novel approach for the solution of fractional diffusion problems with conformable derivative

Bayrak M. A., Demir A., Ozbilge E.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.39, sa.3, ss.1870-1887, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/num.22750
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1870-1887
  • Anahtar Kelimeler: conformable derivative, residual power series method, space-time fractional partial differential equations, EQUATIONS, ORDER
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The truncated solution of space-time fractional differential equations, including conformable derivative is constructed by the help of residual power series method (RPSM). At the first step the space-time fractional differential equations are transformed into space fractional differential equations or time fractional differential equations by means of a specific transformation. Then the solutions are obtained in the form of fractional power series by semi-analytical method RSPM. Finally, the illustrative examples show that this method is applicable, for constructing the truncated analytic solutions for space-time fractional differential equations.