A Novel Method for Analytical Solutions of Fractional Partial Differential Equations


Akinlar M. A. , Kurulay M.

MATHEMATICAL PROBLEMS IN ENGINEERING, 2013 (SCI İndekslerine Giren Dergi)

  • Basım Tarihi: 2013
  • Doi Numarası: 10.1155/2013/195708
  • Dergi Adı: MATHEMATICAL PROBLEMS IN ENGINEERING

Özet

A new solution technique for analytical solutions of fractional partial differential equations (FPDEs) is presented. The solutions are expressed as a finite sum of a vector type functional. By employing MAPLE software, it is shown that the solutions might be extended to an arbitrary degree which makes the present method not only different from the others in the literature but also quite efficient. The method is applied to special Bagley-Torvik and Diethelm fractional differential equations as well as a more general fractional differential equation.